M. Abdelrahim, R. Postoyan, J. Daafouz, and D. Ne?i´ne?i´c, Co-design of output feedback laws and event-triggering conditions for linear systems, 53rd IEEE Conference on Decision and Control, pp.3560-3565, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01080078

M. Abdelrahim, R. Postoyan, J. Daafouz, and D. Ne?i´ne?i´c, Output feedback event-triggered control, Delays and Networked Control Systems, pp.113-131
URL : https://hal.archives-ouvertes.fr/hal-01333727

C. Albea, G. Garcia, and L. Zaccarian, Hybrid dynamic modeling and control of switched affine systems: Application to dc-dc converters, CDC, pp.2264-2269, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01220447

C. Albea, A. Seuret, and L. Zaccarian, Hybrid control of a three-agent network cluster, IEEE Conference on Decision and Control, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01065145

C. Albea, A. Seuret, and L. Zaccarian, Activation and consensus control of a three-node server network cluster via hybrid approach, Nonlinear Analysis: Hybrid Systems, vol.22, pp.16-30, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01278146

A. Alif, M. Boutayeb, and M. Darouach, Observers based control for systems with unknown delays, IFAC Workshop on Time Delay Systems, 2003.

A. Anta and P. Tabuada, Self-triggered stabilization of homogeneous control systems, IEEE American Control Conference, pp.4129-4134, 2008.

A. Anta and P. Tabuada, To sample or not to sample: Self-triggered control for nonlinear systems, IEEE Trans. on Automatic Control, vol.55, pp.2030-2042, 2010.

A. Anta and P. Tabuada, To sample or not to sample: self-triggered control for nonlinear systems, IEEE Trans. on Automatic Control, vol.55, issue.9, pp.2030-2042, 2010.

J. Anthonis, A. Seuret, J. Richard, and H. Ramon, Design of a pressure control system with dead band and time delay, IEEE Trans. on Control Systems Technology, vol.15, issue.6, pp.1103-1111, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00131415

P. Apkarian and H. D. Tuan, Parameterized lmis in control theory, SIAM Journal on Control and Optimization, vol.38, issue.4, pp.1241-1264, 2000.

A. Arce-rubio, A. Seuret, Y. Ariba, and M. A. , Optimal control strategies for load carrying drones, Delays and Networked Control Systems, pp.175-189, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00992766

Y. Ariba and F. Gouaisbaut, An augmented model for robust stability analysis of time-varying delay systems, Int. Journal of Control, vol.82, pp.1616-1626, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00357764

Y. Ariba and F. Gouaisbaut, Input-output framework for robust stability of time-varying delay systems, Conference on Decision and Control and Chinese Control Conference. (CDC-CCC'09), pp.274-279, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00445118

Y. Ariba, F. Gouaisbaut, and K. H. Johansson, Stability interval for time-varying delay systems, 49th IEEE Conference on Decision and Control (CDC'10), pp.1017-1022, 2010.

D. Arzelier, D. Peaucelle, and S. Salhi, Robust static output feedback stabilization for polytopic uncertain systems: improving the guaranteed performance bound, IFAC Proceedings Volumes, vol.36, pp.425-430, 2003.

K. Arzén and ;. P. China, A simple event-based PID controller, Preprints of the 14th World Congress of IFAC, 1999.

K. J. Aström, Event based control, Analysis and design of nonlinear control systems, pp.127-147, 2008.

K. J. Aström and R. M. Murray, Feedback systems: an introduction for scientists and engineers, 2010.

K. J. Aström and B. Wittenmark, Computer-controlled systems: theory and design, 1997.

R. Baheti and H. Gill, Cyber-physical systems, The impact of control technology, vol.12, pp.161-166, 2011.

D. D. Bainov and P. S. Simeonov, Systems with impulse effects: Stability, theory and applications, 1989.

M. Barreau, A. Seuret, and F. Gouaisbaut, Wirtinger-based exponential stability for time-delay systems, IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01488920

M. Barreau, A. Seuret, L. Gouaisbaut, and . Baudouin, Lyapunov stability analysis of a string equation coupled with an ordinary differential system, IEEE Trans. Automatic Control, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01548256

G. Bastin and J. Coron, Stability and boundary stabilization of 1-d hyperbolic systems, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01449504

L. Baudouin, A. Seuret, and F. Gouaisbaut, Stability analysis of a system coupled to a heat equation, Automatica, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01566455

L. Baudouin, A. Seuret, F. Gouaisbaut, and M. Dattas, Lyapunov stability analysis of a linear system coupled to a heat equation, IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01496115

L. Baudouin, A. Seuret, and M. Safi, Stability analysis of a system coupled to a transport equation using integral inequalities, IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE'16), 2016.
URL : https://hal.archives-ouvertes.fr/hal-01310306

R. Bellman and S. L. Cooke, Differential Difference Equations, 1963.

P. Bliman, LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov-Krasovskii functionals, Systems & Control Letters, vol.43, issue.4, pp.263-274, 2001.
URL : https://hal.archives-ouvertes.fr/inria-00072680

P. Bliman, Lyapunov-Krasovskii functionals and frequency domain: Delay-independent absolute stability criteria for delay systems, Int. Journal of Robust and Nonlinear Control, vol.11, issue.8, pp.771-788, 2001.

D. Breda, S. Maset, and R. Vermiglio, Trace-dde: a tool for robust analysis and characteristic equations for delay differential equations, Topics in Time Delay Systems, vol.388, pp.145-155, 2009.

L. Briñón-arranz, L. Schenato, and A. Seuret, Distributed source seeking via a circular formation of agents under communication constraints, IEEE Trans. on Control of Network Systems, vol.3, issue.2, pp.104-115, 2016.

L. Briñón-arranz, A. Seuret, and C. Canudas-de-wit, Translation control of a fleet circular formation of AUVs under finite communication range, IEEE Conference on Decision and Control (CDC'09), pp.8345-8350, 2009.

L. Briñón-arranz, A. Seuret, and C. Canudas-de-wit, Contraction control of a fleet circular formation of AUVs under limited communication range, IEEE American Control Conference (ACC'2010), pp.5991-5996, 2010.

L. Briñón-arranz, A. Seuret, and C. Canudas-de-wit, General framework using affine transformations to formation control design, IFAC Workshop on Distributed Estimation and Control in Networked Systems (Necsys'10), 2010.

L. Briñón-arranz, A. Seuret, and C. Canudas-de-wit, Collaborative estimation of gradient direction by a formation of AUVs, 5th International ICST Conference on Performance Evaluation Methodologies and Tools (ValueTools'11), 2011.

L. Briñón-arranz, A. Seuret, and C. Canudas-de-wit, Collaborative estimation of gradient direction by a formation of AUVs under communication constraints, IEEE Conference on Decision and Control, held jointly with the European Control Conference, CDC-ECC'11, 2011.

L. Briñón-arranz, A. Seuret, and C. Canudas-de-wit, Elastic formation control based on affine transformations, IEEE American Control Conference (ACC'11), 2011.

C. Briat, Convergence and equivalence results for the Jensen's inequality-application to time-delay and sampleddata systems, IEEE Trans. on Automatic Control, vol.56, issue.7, pp.1660-1665, 2011.

C. Briat, Stability analysis and control of a class of LPV systems with piecewise constant parameters, Systems & Control Letters, vol.82, pp.10-17, 2015.

C. Briat, Theoretical and numerical comparisons of looped functionals and clock-dependent Lyapunov functions-the case of periodic and pseudo-periodic systems with impulses, Int. Journal of Robust and Nonlinear Control, vol.26, issue.10, pp.2232-2255, 2015.

C. Briat, Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints, Automatica, vol.74, pp.279-287, 2016.

C. Briat, Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems, Nonlinear Analysis: Hybrid Systems, vol.24, pp.198-226, 2017.

C. Briat, Stability analysis and stabilization of lpv systems with jumps and piecewise differentiable parameters using continuous and sampled-data controllers, 2017.

C. Briat and A. Seuret, Stability criteria for asynchronous sampled-data systems-a fragmentation approach, IFAC Proceedings Volumes, vol.44, pp.1313-1318, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00575532

C. Briat and A. Seuret, Convex dwell-time characterizations for uncertain linear impulsive systems, IEEE Trans. on Automatic Control, vol.57, issue.12, pp.3241-3246, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00724546

C. Briat and A. Seuret, A looped-functional approach for robust stability analysis of linear impulsive systems, Systems & Control Letters, vol.61, issue.10, pp.980-988, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00724545

C. Briat and A. Seuret, Affine characterizations of minimal and mode-dependent dwell-times for uncertain linear switched systems, IEEE Trans. on Automatic Control, vol.58, issue.5, pp.1304-1310, 2013.

C. Briat and A. Seuret, On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampleddata and hybrid systems, International Journal of Control, vol.88, issue.12, pp.2563-2569, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01975328

C. Briat and E. I. Verriest, A new delay-SIR model for pulse vaccination, Biomedical signal processing and control, vol.4, pp.272-277, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00336992

L. Brinón-arranz, A. Seuret, and C. Canudas-de-wit, Cooperative control design for time-varying formations of multi-agent systems, IEEE Trans. on Automatic Control, vol.59, issue.8, pp.2283-2288, 2014.

R. W. Brockett and D. Liberzon, Quantized feedback stabilization of linear systems, IEEE trans. on Automatic Control, vol.45, issue.7, pp.1279-1289, 2000.

C. Cai, A. R. Teel, and R. Goebel, Converse Lyapunov theorems and robust asymptotic stability for hybrid systems, American Control Conference, pp.12-17, 2005.

C. Cai, A. R. Teel, and R. Goebel, Smooth Lyapunov functions for hybrid systems part ii: (pre)asymptotically stable compact sets, IEEE Trans. on Automatic Control, vol.53, issue.3, pp.734-748, 2008.

Y. Cao, Z. Lin, and T. Hu, Stability analysis of linear time-delay systems subject to input saturation, IEEE Trans. on Circuit and Systems I, vol.49, pp.233-240, 2002.

Y. Cao, Y. Sun, and C. Cheng, Delay-dependent robust stabilization of uncertain systems with multiple state delays, IEEE Trans. on Automatic Control, vol.43, issue.11, pp.1608-1612, 1998.

J. Chen, J. Lu, and S. Xu, Summation inequality and its application to stability analysis for time-delay systems, IET Control Theory & Applications, 2016.

J. Chen, S. Xu, W. Chen, B. Zhang, Q. Ma et al., Two general integral inequalities and their applications to stability analysis for systems with time-varying delay, Int. Journal of Robust and Nonlinear Control, 2016.

T. Chen and B. A. Francis, Optimal sampled-data control systems, 1995.

W. Chen, Z. Guan, and X. Lu, Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach, Systems & Control Letters, vol.54, issue.6, pp.547-555, 2005.

W. Chen and W. X. Zheng, Delay-dependent robust stabilization for uncertain neutral systems with distributed delays, Automatica, vol.43, issue.1, pp.95-104, 2007.

H. H. Choi and M. J. Chung, Observer-based H ? controller design for state delayed linear systems, Automatica, vol.32, issue.7, pp.1073-075, 1996.

N. Chopra, M. W. Spong, S. Hirche, and M. Buss, Bilateral teleoperation over the internet: the time varying delay problem, vol.101, p.61801, 2003.

P. D. Christofides and P. Daoutidis, Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds, IEEE Conference on Decision and Control, 1997.

M. B. Cloosterman, L. Hetel, N. Van-de-wouw, W. P. Heemels, J. Daafouz et al., Controller synthesis for networked control systems, Automatica, vol.46, issue.10, pp.1584-1594, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00518360

J. Cochran and M. Krstic, Source seeking with a nonholonomic unicycle without position measurements and with tuning of angular velocity part i: Stability analysis, IEEE Conference on Decision and Control, 2007.

K. L. Cooke and Z. Grossman, Discrete delay, distributed delay and stability switches, Journal of Mathematical Analysis and Applications, vol.86, issue.2, pp.592-627, 1982.

J. Coron, B. , A. Novel, and G. Bastin, A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws, IEEE Trans. on Automatic Control, vol.52, issue.1, pp.2-11, 2007.

J. Coron and Z. Wang, Output feedback stabilization for a scalar conservation law with a nonlocal velocity, SIAM Journal on Mathematical Analysis, vol.45, issue.5, pp.2646-2665, 2013.

D. F. Coutinho, M. Fu, and C. E. Souza, Input and output quantized feedback linear systems, IEEE Trans. on Automatic Control, vol.55, issue.3, pp.761-766, 2010.

R. F. Curtain and H. Zwart, An introduction to infinite-dimensional linear systems theory, vol.21, 2012.

M. Darouach, Linear functional observers for systems with delays in the state variables, IEEE Trans. on Automatic Control, vol.46, issue.3, pp.491-497, 2005.

M. Darouach, Reduced-order observers for linear neutral delay systems, IEEE Trans. on Automatic Control, vol.50, issue.9, pp.1407-1413, 2005.

A. Diagne, G. Bastin, and J. Coron, Lyapunov exponential stability of 1-d linear hyperbolic systems of balance laws, Automatica, vol.48, issue.1, pp.109-114, 2012.

D. V. Dimarogonas, E. Frazzoli, and K. H. Johansson, Distributed event-triggered control for multi-agent systems, IEEE Trans. on Automatic Control, vol.57, issue.5, pp.1291-1297, 2012.

X. Ding, X. Liu, and S. Zhong, Delay-independent criteria for exponential admissibility of switched descriptor delayed systems, Applied Mathematics and Computation, vol.228, pp.432-445, 2014.

M. C. Donkers and W. P. Heemels, Output-based event-triggered control with guaranteed L ?-gain and improved event-triggering, IEEE Conference on Decision and Control, pp.3246-3251, 2010.

M. C. Donkers, W. P. Heemels, N. Van-de-wouw, and L. Hetel, Stability analysis of networked control systems using a switched linear systems approach, IEEE Trans. on Automatic control, vol.56, issue.9, pp.2101-2115, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00461384

D. R. Driver, Ordinary and delay differential equations, 1977.

B. Du, J. Lam, Z. Shu, and Z. Wang, A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components, IET Control Theory & Applications, vol.3, issue.4, pp.383-390, 2009.

S. Durand and N. Marchand, Further results on event-based PID controller, European Control Conference, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00368535

Y. Ebihara, D. Peaucelle, and D. Arzelier, S-variable approach to lmi-based robust control, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01760625

L. E. Ghaoui and S. Niculescu, Advances in linear matrix inequality methods in control, vol.2, 2000.

N. Espitia, A. Girard, N. Marchand, and C. Prieur, Event-based control of linear hyperbolic systems of conservation laws, Automatica, vol.70, pp.275-287, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01309671

N. Espitia, A. Girard, N. Marchand, and C. Prieur, Event-based stabilization of linear systems of conservation laws using a dynamic triggering condition, vol.49, pp.362-367, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01309675

Y. Fan, G. Feng, Y. Wang, and C. Song, Distributed event-triggered control of multi-agent systems with combinational measurements, Automatica, vol.49, issue.2, pp.671-675, 2013.

M. Fang and J. H. Park, A multiple integral approach to stability of neutral time-delay systems, Applied Mathematics and Computation, vol.224, pp.714-718, 2013.

J. A. Fax and R. M. Murray, Information flow and cooperative control of vehicle formations, IEEE Trans. on Automatic Control, vol.49, issue.9, pp.1465-1476, 2004.

Z. Feng and J. Lam, Integral partitioning approach to robust stabilization for uncertain distributed time-delay systems, Int. Journal of Robust and Nonlinear Control, vol.22, issue.6, pp.676-689, 2012.

Z. Feng, J. Lam, and G. Yang, Optimal partitioning method for stability analysis of continuous/discrete delay systems, Int. Journal of Robust and Nonlinear Control, vol.25, issue.4, pp.559-574, 2015.

F. Ferrante, F. Gouaisbaut, and S. Tarbouriech, Stabilization of continuous-time linear systems subject to input quantization, Automatica, vol.58, pp.167-172, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01767297

F. Forni, S. Galeani, D. Ne?i´ne?i´c, and L. Zaccarian, Event-triggered transmission for linear control over communication channels, Automatica, vol.50, issue.2, pp.490-498, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01851141

P. Freitas, Delay-induced instabilities in gyroscopic systems, SIAM Journal on Control and Optimization, vol.39, issue.1, pp.196-207, 2000.

E. Fridman, Use of models with aftereffect in the problem of design of optimal digital control, Autom. Remote Control, vol.53, pp.1523-1528, 1992.

E. Fridman, New Lyapunov-Krasvoskii functionals for stability of linear retarded and neutral type systems, Systems and Control Letters, vol.43, pp.309-319, 2001.

E. Fridman, Stability of linear descriptor systems with delay: A Lyapunov-based approach, Journal of Mathematical Analysis and Applications, vol.273, issue.1, pp.24-44, 2002.

E. Fridman, Stability of linear functional differential equations: A new Lyapunov technique, Proceedings of Mathematical Theory of Networks and Systems, 2004.

E. Fridman, A new Lyapunov technique for robust control of systems with uncertain non-small delays, IMA Journal of Mathematical Control and Information, vol.23, issue.2, pp.165-179, 2006.

E. Fridman, A refined input delay approach to sampled-data control, Automatica, vol.46, issue.2, pp.421-427, 2010.

E. Fridman, Introduction to time-delay systems, Analysis and control, 2014.

E. Fridman and N. Bar-am, Sampled-data distributed h ? control of transport reaction systems, SIAM J. Control & Optimization, vol.51, issue.2, pp.1500-1527, 2013.

E. Fridman and A. Blighovsky, Robust sampled control of a class of semilinear parabolic systems, Automatica, vol.48, pp.826-836, 2012.

E. Fridman and Y. Orlov, Exponential stability of linear distributed parameter systems with time-varying delays, Automatica, vol.45, issue.1, pp.194-201, 2009.

E. Fridman, A. Seuret, and J. Richard, Robust sampled-data stabilization of linear systems: An input delay approach, Automatica, vol.40, issue.8, pp.1141-1446, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00131031

E. Fridman and U. Shaked, Stability and guaranteed cost control of uncertain discrete delay systems, International Journal of Control, vol.45, issue.12, pp.2406-2411, 2000.

E. Fridman and U. Shaked, A descriptor system approach to H ? control of linear time-delay systems, IEEE Trans. on Automatic Control, vol.47, issue.2, pp.253-270, 2002.

E. Fridman and U. Shaked, An improved stabilization method for linear time-delay systems, IEEE Trans. on Automatic Control, vol.47, issue.11, pp.1931-1937, 2002.

E. Fridman and U. Shaked, Delay-dependent stability and H ? control: constant and time-varying delays, International Journal of ontrol, vol.76, issue.1, pp.48-60, 2003.

E. Fridman and U. Shaked, An improved delay-dependent H ? filtering of linear neutral systems, IEEE Trans. on Signal and Processing, vol.52, issue.3, pp.668-673, 2004.

E. Fridman and G. Tsodik, H ? control of distributed and discrete delay systems via discretized Lyapunov functional, European Journal of Control, vol.15, issue.1, pp.84-94, 2009.
DOI : 10.3166/ejc.15.84-94

M. Fu and L. Xie, The sector bound approach to quantized feedback control, IEEE Trans. on Automatic control, vol.50, issue.11, pp.1698-1711, 2005.

H. Fujioka, Stability analysis of systems with aperiodic sample-and-hold devices, Automatica, vol.45, issue.3, pp.771-775, 2009.
DOI : 10.1016/s1474-6670(17)69306-6

P. Gahinet and P. Apkarian, A linear matrix inequality approach to H ? control, Int. Journal of Robust and Nonlinear Control, vol.4, issue.4, pp.421-448, 1994.
DOI : 10.1002/rnc.4590040403

E. Garcia, P. J. Antsaklis, and L. A. Montestruque, Model-based control of networked systems, 2014.

E. Garcia, G. Vitaioli, and P. J. Antsaklis, Model-based tracking control over networks, Control Applications (CCA), 2011 IEEE International Conference on, pp.1226-1231, 2011.
DOI : 10.1109/cca.2011.6044514

J. C. Geromel and G. W. Gabriel, Optimal 2 state feedback sampled-data control design of Markov jump linear systems, Automatica, vol.54, pp.182-188, 2015.

R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid dynamical systems, IEEE Control Systems, vol.29, issue.2, pp.28-93, 2009.

R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid dynamical systems: modeling, stability, and robustness, 2012.

J. M. Gomes-da-silva, I. Queinnec, A. Seuret, and S. Tarbouriech, Stability analysis of dynamic output controllers under aperiodic sampling and input saturation, 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014), p.6, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01069299

J. M. Gomes-da-silva, I. Queinnec, A. Seuret, and S. Tarbouriech, Regional stability analysis of discrete-time dynamic output feedback under aperiodic sampling and input saturation, IEEE Trans. on Automatic Control, vol.61, issue.12, pp.4176-4182, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01474407

J. M. Gomes-da, S. Silva, and . Tarbouriech, Antiwindup design with guaranteed regions of stability: an lmi-based approach, IEEE Trans. on Automatic Control, vol.50, issue.1, pp.106-111, 2005.

J. M. Gomes-da-silva, E. Fridman, A. Seuret, and J. Richard, Stabilization of neutral systems with saturating inputs, IFAC World Congress, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00421351

J. M. Gomes-da-silva, A. Seuret, E. Fridman, and J. Richard, Stabilisation of neutral systems with saturating control inputs, International Journal of Systems Science, vol.42, issue.7, pp.1093-1103, 2011.

J. M. Gomes-da-silva and S. Tarbouriech, Anti-windup design with guaranteed region of stability: an LMI-based approach, IEEE Trans. on Automatic Control, vol.50, issue.1, pp.106-111, 2005.

J. M. Gomes-da-silva and S. Tarbouriech, Anti-windup design with guaranteed regions of stability for discretetime linear systems, Syst. & Contr. Lett, vol.55, issue.3, pp.184-192, 2006.

F. Gouaisbaut, Y. Ariba, and A. Seuret, Bessel inequality for robust stability analysis of time-delay system, IEEE Conference on Decision and Control (CDC'13), pp.928-933, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00860375

F. Gouaisbaut, Y. Ariba, A. Seuret, and D. Peaucelle, Stability analysis of time-delay systems via Bessel's inequality : a quadratic separation approach. submitted to, International Journal of Robustness and Nonlinear Control, 2016.

F. Gouaisbaut and D. Peaucelle, Delay-dependent stability analysis of linear time delay systems, IFAC Workshop on Time-Delay Systems (TDS'06), 2006.
URL : https://hal.archives-ouvertes.fr/hal-00357911

F. Gouaisbaut and D. Peaucelle, A note on stability of time delay systems, 5 th IFAC Symposium on Robust Control Design (ROCOND'06), 2006.
URL : https://hal.archives-ouvertes.fr/hal-00401031

F. Gouaisbaut and D. Peaucelle, Robust stability of time-delay systems with interval delays, IEEE Conference on Decision and Control (CDC'07), pp.6328-6333, 2007.

K. Gu, Discretized LMI set in the stability problem of linear uncertain time-delay systems, Int. J. of Control, vol.68, pp.923-934, 1997.

K. Gu, An integral inequality in the stability problem of time-delay systems, IEEE Conference on Decision and Control, 2000.

K. Gu, A further refinement of discretized Lyapunov functional method for the stability of time-delay systems, Int. Journal of Control, vol.74, issue.10, pp.967-976, 2001.

K. Gu, V. Kharitonov, and J. Chen, Stability of time-delay systems, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00664367

K. Gu and S. Niculescu, Survey on recent results in the stability and control of time-delay systems, Journal of Dynamic Systems, Measurement, and Control, vol.125, issue.2, pp.158-165, 2003.

R. A. Gupta and M. Chow, Networked control system: Overview and research trends, IEEE Trans. on Industrial Electronics, vol.57, issue.7, pp.2527-2535, 2010.

E. Gyurkovics, K. Kiss, I. Nagy, and T. Takacs, Multiple summation inequalities and their application to stability analysis of discrete-time delay systems, 2015.

E. Gyurkovics and T. Takacs, Multiple integral inequalities and stability analysis of time delay systems, 2016.

Q. Han, A delay decomposition approach to stability of linear neutral systems, 17th IFAC World Congress, 2008.

Q. Han, A discrete delay decomposition approach to stability of linear retarded and neutral systems, Automatica, vol.45, issue.2, pp.517-524, 2009.

F. M. Hante, G. Leugering, and T. I. Seidman, Switching rules for stabilization of linear systems of conservation laws, Applied Mathematics and Optimization, vol.59, issue.2, p.275292, 2009.

Y. He, Q. Wang, C. Lin, and M. Wu, Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems, Int. Journal of Robust and Nonlinear Control, vol.15, issue.18, pp.923-933, 2005.

Y. He, Q. Wang, L. Xie, and C. Lin, Further improvement of free-weighting matrices technique for systems with time-varying delay. Automatic Control, IEEE Trans. on, vol.52, issue.2, pp.293-299, 2007.

W. P. Heemels and M. C. Donkers, Model-based periodic event-triggered control for linear systems, Automatica, vol.49, issue.3, pp.698-711, 2013.

W. P. Heemels, M. C. Donkers, and A. R. Teel, Periodic event-triggered control for linear systems, IEEE Trans. on Automatic Control, vol.58, issue.4, pp.847-861, 2013.

W. P. Heemels, K. H. Johansson, and P. Tabuada, An introduction to event-triggered and self-triggered control, IEEE Conference on Decision and Control, pp.3270-3285, 2012.

W. P. Heemels, A. R. Teel, N. Van-de-wouw, and D. Nesic, Networked control systems with communication constraints: Tradeoffs between transmission intervals, delays and performance, IEEE Trans. on Automatic control, vol.55, issue.8, pp.1781-1796, 2010.
DOI : 10.1109/tac.2010.2042352

W. P. Heemels, N. Van-de-wouw, R. Gielen, M. C. Donkers, L. Hetel et al., Comparison of overapproximation methods for stability analysis of networked control systems, Proceedings of the 13th ACM international conference on Hybrid systems: computation and control, pp.181-190, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00520181

D. Henrion and J. Lasserre, GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi, ACM Trans. on Mathematical Software (TOMS), vol.29, issue.2, pp.165-194, 2003.
DOI : 10.1109/cdc.2002.1184595

URL : http://www.mat.univie.ac.at/~neum/glopt/mss/HenL02.pdf

D. Henrion, J. Lasserre, and J. Löfberg, Gloptipoly 3: moments, optimization and semidefinite programming, Optimization Methods & Software, vol.24, issue.4-5, pp.761-779, 2009.
DOI : 10.1080/10556780802699201

URL : https://hal.archives-ouvertes.fr/hal-00172442

J. P. Hespanha, D. Liberzon, and A. R. Teel, Lyapunov conditions for input-to-state stability of impulsive systems, Automatica, vol.44, pp.2735-2744, 2008.
DOI : 10.1016/j.automatica.2008.03.021

URL : http://www.ece.ucsb.edu/~hespanha/published/autom-impulsive-iss.pdf

J. P. Hespanha, P. Naghshtabrizi, and Y. Xu, A survey of recent results in networked control systems, Proceedings of the IEEE, vol.95, issue.1, pp.138-162, 2007.

L. Hetel, J. Daafouz, and C. Iung, Stabilization of arbitrary switched linear systems with unknown time-varying delays, IEEE Trans. on Automatic Control, vol.51, issue.10, pp.1668-1674, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00121714

L. Hetel, C. Fiter, H. Omran, A. Seuret, E. Fridman et al., Recent developments on the stability of systems with aperiodic sampling: an overview, Automatica, vol.76, pp.309-335, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01363448

S. Hirche, T. Matiakis, and M. Buss, A distributed controller approach for delay-independent stability of networked control systems, Automatica, vol.45, issue.8, pp.1828-1836, 2009.

H. Ishii and T. Bas¸arbas¸ar, Remote control of lti systems over networks with state quantization, Systems & Control Letters, vol.54, issue.1, pp.15-31, 2005.
DOI : 10.1109/cdc.2002.1184608

D. Jacquet, M. Krstic, and C. Canudas-de-wit, Optimal control of scalar one-dimensional conservation laws, American Control Conference, 2006.
DOI : 10.1109/acc.2006.1657550

URL : https://hal.archives-ouvertes.fr/hal-00023175

J. Hale, Theory of functional differential equations, 1997.

W. Jiang and A. Seuret, Improved stability analysis of networked control systems under asynchronous sampling and input delay, IFAC Workshop on Distributed Control and Estimation of Networked Systems (Necsys'10), 2010.
DOI : 10.3182/20100913-2-fr-4014.00073

URL : https://hal.archives-ouvertes.fr/hal-00515425

W. Jiang and A. Seuret, Stability analysis for sampled-data systems with input delay, Advanced Science Letters, vol.11, issue.1, pp.456-461, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00760259

X. Jiang and Q. Han, On H ? control for linear systems with interval time-varying delay, Automatica, vol.41, pp.2099-2106, 2005.

X. Jiang and Q. Han, Delay-dependent robust stability for uncertain linear systems with interval time-varying delay, Automatica, vol.42, issue.6, pp.1059-1065, 2006.

W. D. Kammler, A first Course in Fourier Analysis, 2007.

W. Kang and E. Fridman, Boundary control of delayed ODE-heat cascade under actuator saturation, Automatica, vol.83, pp.252-261, 2017.
DOI : 10.1016/j.automatica.2017.06.014

C. Kao, An IQC approach to robust stability of aperiodic sampled-data systems, IEEE Trans. on Automatic Control, vol.61, issue.8, pp.2219-2225, 2016.

C. Kao and M. Cantoni, Frequency-domain stability criteria for distributed-parameter systems under periodic sampled-data feedback control, Australian Control Conference, 2014.

C. Kao and H. Fujioka, On stability of systems with aperiodic sampling devices, IEEE Trans. on Automatic Control, vol.58, issue.8, pp.2085-2090, 2013.

C. Y. Kao and A. Rantzer, Robust stability analysis of linear systems with time-varying delays, 16th IFAC World Congress, IFAC WC'05, 2005.

C. Kao and A. Rantzer, Stability analysis of systems with uncertain time-varying delays, Automatica, vol.43, issue.6, pp.959-970, 2007.

H. K. Khalil, Nonlinear systems, vol.2, pp.5-6, 1996.

V. L. Kharitonov, Time-delay systems: Lyapunov functionals and matrices, 2012.

V. L. Kharitonov and A. Zhabko, Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems, Automatica, vol.39, issue.1, pp.15-20, 2003.

J. Kim, Further improvement of jensen inequality and application to stability of time-delayed systems, Automatica, vol.64, pp.121-125, 2016.

V. Kolmanovskii and . Myshkis, Introduction to the theory and applications of functional. Differential Equations, p.463, 1999.

V. B. Kolmanovskii, S. Niculescu, and J. Richard, On the Lyapunov-Krasovskii functionals for stability analysis of linear delay systems, Int. J. Control, vol.72, pp.374-384, 1999.

V. B. Kolmanovskii and L. E. Sha, Control of systems with aftereffet, 1996.

M. Krstic, Delay compensation for nonlinear, adaptive, and PDE systems, Birkhäuser Boston, 2009.

M. Krstic and A. Smyshlyaev, Boundary control of PDEs: A course on backstepping designs, 2008.

Y. Labit, D. Peaucelle, and D. Henrion, SeDuMi interface 1.02: a tool for solving LMI problems with SeDuMi, Computer Aided Control System Design, pp.272-277, 2002.

P. Lamare, A. Girard, and C. Prieur, Switching rules for stabilization of linear systems of conservation laws, SIAM Journal on Control and Optimization, vol.53, issue.3, pp.1599-1624, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01165967

N. E. Leonard, D. A. Paley, F. Lekien, R. Sepulchre, D. M. Frantatoni et al., Collective motion, sensor networks and ocean sampling, Proceedings of the IEEE, vol.95, issue.1, pp.48-74, 2007.

K. Li and J. Baillieul, Robust quantization for digital finite communication bandwidth (dfcb) control, IEEE Trans. on Automatic Control, vol.49, issue.9, pp.1573-1584, 2004.

X. Li and C. Souza, Criteria for robust stability and stabilization of uncertain linear systems with state delay, Automatica, vol.33, pp.1657-1662, 1997.

X. Li, H. Gao, and K. Gu, Delay-independent stability analysis of linear time-delay systems based on frequency discretization, Automatica, vol.70, pp.288-294, 2016.

D. Liberzon and A. S. Morse, Basic problems in stability and design of switched systems, IEEE Control systems, vol.19, issue.5, pp.59-70, 1999.

Z. Lin, B. A. Francis, and M. Maggiore, Necessary and sufficient graphical conditions for formation control of unicycles, In IEEE Trans. on Automatic Control, 2007.

K. Liu and E. Fridman, Discontinuous Lyapunov functionals for linear systems with sawtooth delays, Proceedings of the 8 th IFAC Workshop on Time-Delay Systems, 2009.

K. Liu and E. Fridman, Stability analysis of networked control systems: a discontiuous Lyapunov functional approach, Joint 48 th IEEE Conference on Decision and Control and 28 th Chinese Control Conference, 2009.

K. Liu and E. Fridman, Wirtinger's inequality and Lyapunov-based sampled-data stabilization, Automatica, vol.48, issue.1, pp.102-108, 2012.

K. Liu and A. Seuret, Comparison of bounding methods for stability analysis of systems with time-varying delays, Journal of the Franklin Institute, vol.354, issue.7, pp.2979-2993, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01587384

K. Liu, A. Seuret, and Y. Xia, Stability analysis of systems with time-varying delays via the second-order bessellegendre inequality, Automatica, vol.76, issue.2, pp.138-142, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01382473

J. Löfberg, YALMIP: A toolbox for modeling and optimization in MATLAB, Computer Aided Control Systems Design, pp.284-289, 2004.

I. Lopez, J. L. Piovesan, C. T. Abdallah, D. Lee, O. M. Palafox et al., Pratical issues in networked control systems, American Control Conference, 2006.

J. , Delay differential systems with time-varying delay: New directions for stability theory, Kybernetika, vol.37, issue.3, pp.239-251, 2001.

D. G. Luenberger, An introduction to observers, IEEE Trans. on Automatic Control, vol.16, pp.596-602, 1971.

J. Lunze and D. Lehmann, A state-feedback approach to event-based control, Automatica, vol.46, issue.1, pp.211-215, 2010.

B. G. Marieke, M. Cloosterman, N. Van-de-wouw, W. P. Heemels, and H. Nijmeijer, Stability of networked control systems with uncertain time-varying delays, IEEE Trans. on Automatic Control, vol.54, issue.7, pp.1575-1580, 2009.

J. A. Marshall, M. E. Brouck, and B. A. Francis, Formations of vehicles in cyclic pursuit, IEEE Trans. on Automatic Control, vol.49, issue.11, pp.1963-1974, 2004.

S. Mart`mart`?nez, J. Cortes, and F. Bullo, Motion coordination with distributed information, IEEE Control Systems Magazine, vol.27, issue.4, pp.75-88, 2007.

F. Mazenc, M. Malisoff, and S. Niculescu, Reduction model approach for linear time-varying systems with delays, IEEE Trans. on Automatic Control, vol.59, issue.8, pp.2068-2082, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01062761

F. Mazenc, S. Niculescu, and M. Krstic, Lyapunov-Krasovskii functionals and application to input delay compensation for linear time-invariant systems, Automatica, vol.48, issue.7, pp.1317-1323, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00761591

F. Mazenc and C. Prieur, Strict Lyapunov functions for semilinear parabolic partial differential equations, Mathematical Control and Related Fields, vol.1, issue.2, pp.231-250, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00599068

X. Meng and T. Chen, Event based agreement protocols for multi-agent networks, Automatica, vol.49, issue.7, pp.2125-2132, 2013.

Y. V. Mikheev, V. A. Sobolev, and E. M. Fridman, Asymptotic analysis of digital control systems, Autom. Remote Control, vol.49, issue.9, pp.1175-1180, 1988.

P. Millán, L. Orihuela, C. Vivas, and F. R. Rubio, Distributed consensus-based estimation considering network induced delays and dropouts, Automatica, vol.48, issue.10, pp.2726-2729, 2012.

P. Millán, A. Rodrigues-del-nozal, L. Zaccarian, L. Orihuela, and A. Seuret, Distributed implementation and design for state estimation, IFAC 2017 World Congress The 20th World Congress of the International Federation of Automatic Control, 2017.

L. Mirkin, Exponential stability of impulsive systems with application to uncertain sampled-data systems, IEEE Trans. on Automatic Control, vol.52, issue.6, pp.1109-1112, 2007.

L. Mirkin, Some remarks on the use of time-varying delay to model sample-and-hold circuits, IEEE Trans. on Automatic Control, vol.52, issue.6, pp.1009-1112, 2007.

A. Molin and S. Hirche, On the optimality of certainty equivalence for event-triggered control systems, IEEE Trans. on Automatic Control, vol.58, issue.2, pp.470-474, 2013.

Y. S. Moon, P. G. Park, W. H. Kwon, and Y. S. Lee, Delay-dependent robust stabilization of uncertain state-delayed systems, International Journal of Control, vol.74, issue.14, pp.1447-1455, 2001.
DOI : 10.1080/00207170110067116

C. Morarescu, Qualitative analysis of distributed delay systems: Methodology and algorithms, 2006.

C. Morarescu, S. Niculescu, and K. Gu, Stability crossing curves of shifted gamma-distributed delay systems, SIAM Journal on Applied Dynamical Systems, vol.6, issue.2, pp.475-493, 2007.

L. Moreau, Stability of continuous-time distributed consensus algorithms, IEEE Conference on Decision and Contro, 2004.
DOI : 10.1109/cdc.2004.1429377

URL : http://arxiv.org/pdf/math/0409010

L. Moreau, Stability of multi-agent systems with time-dependent communication links, IEEE Trans. on Automatic Control, vol.50, 2005.

A. D. Myshkis, General theory of differential equations with delay, Transl AMS, vol.55, pp.1-62, 19551.

M. Nagahara, D. E. Quevedo, and J. Ostergaard, Sparse packetized predictive control for networked control over erasure channels, IEEE Trans. on Automatic Control, vol.59, issue.7, pp.1899-1905, 2014.
DOI : 10.1109/tac.2013.2294622

URL : http://arxiv.org/pdf/1307.8242

P. Naghshtabrizi, J. P. Hespanha, and A. R. Teel, Exponential stability of impulsive systems with application to uncertain sampled-data systems, Systems and Control Letters, vol.57, issue.5, pp.378-385, 2008.

P. Naghshtabrizi, J. P. Hespanha, and A. R. Teel, Stability of delay impulsive systems with application to networked control systems, Trans. of the Inst. of Measurement and Control, 2009.

P. Naghshtabrizi, J. P. Hespanha, and A. R. Teel, On the robust stability and stabilization of sampled-data systems: A hybrid system approach, Proceedings of the 45 th IEEE Conference on Decision and Control, 2006.

P. T. Nam, H. Trinh, and P. N. Pathirana, Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems, Journal of the Franklin Institute, vol.352, issue.12, pp.5810-5831, 2015.

S. Niculescu, Delay Effects on Stability. A Robust Control Approach, 2001.

S. Niculescu and K. Gu, Advances in time-delay systems, vol.38, 2012.

P. Ogren, M. Egerstedt, and X. Hu, A control lyapunov function approach to multi-agent coordination, IEEE Conference on Decision and Control, 2004.
DOI : 10.1109/.2001.981040

URL : http://kth.diva-portal.org/smash/get/diva2:505869/FULLTEXT01

P. Ogren, E. Fiorelli, and N. E. Leonard, Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment, IEEE Trans. on Automatic Control, vol.49, issue.8, pp.1292-1302, 2004.

Y. Oishi and H. Fujioka, Stability and stabilization of aperiodic sampled-data control systems: An approach using robust linear matrix inequalities, Joint 48 th IEEE Conference on Decision and Control and 28 th Chinese Control Conference, 2009.

Y. Oishi and H. Fujioka, Stability and stabilization of aperiodic sampled-data control systems using robust linear matrix inequalities, Automatica, vol.46, issue.8, pp.1327-1333, 2010.

R. Olfati-saber, Flocking for multi-agent dynamic systems: Algorithms and theory, IEEE Trans. on Automatic Control, vol.51, issue.3, pp.401-420, 2006.

R. Olfati-saber, A. Fax, and R. Murray, Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, vol.95, pp.215-233, 2007.

R. Olfati-saber and R. M. Murray, Consensus problems in networks of agents whit switching topology and timedelays, IEEE Trans. on Automatic Control, vol.49, issue.9, pp.1520-1533, 2004.

R. Olfati-saber and J. S. Shamma, Consensus filters for sensor networks and distributed sensor fusion, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, 2005.

N. Olgac, A. F. Ergenc, and R. Sipahi, delay scheduling": A new concept for stabilization in multiple delay systems, Journal of Vibration and Control, vol.11, issue.9, pp.1159-1172, 2005.

H. Omran, L. Hetel, M. Petreczky, J. Richard, and F. Lamnabhi-lagarrigue, Stability analysis of some classes of input-affine nonlinear systems with aperiodic sampled-data control, Automatica, vol.70, pp.266-274, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01343851

L. Orihuela, F. R. Rubio, and F. Gómez-estern, Model-based networked control systems under parametric uncertainties, Control Applications,(CCA) & Intelligent Control, pp.7-12, 2009.

Y. V. Orlov, Discontinuous systems: Lyapunov analysis and robust synthesis under uncertainty conditions, 2008.

A. Packard, Gain scheduling via linear fractional transformations, Systems & Control Letters, vol.22, issue.2, pp.79-92, 1994.

A. Papachristodoulou, J. Anderson, G. Valmorbida, S. Prajna, P. Seiler et al., Sostools version 3.00 sum of squares optimization toolbox for Matlab, 2013.

A. Papachristodoulou, M. M. Peet, and S. Niculescu, Stability analysis of linear systems with time-varying delays: Delay uncertainty and quenching, 46 th IEEE Conference on Decision and Control (CDC'07), 2007.

M. Park, O. M. Kwon, J. H. Park, and S. Lee, A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays, Applied Mathematics and Computation, vol.217, issue.17, pp.7197-7209, 2011.

M. J. Park, O. M. Kwon, J. H. Park, S. M. Lee, and E. J. Cha, Stability of time-delay systems via Wirtinger-based double integral inequality, Automatica, vol.55, pp.204-208, 2015.

M. J. Park, O. M. Kwon, and A. Seuret, Weighted consensus protocols design based on network centrality for multi-agent systems with sampled-data, IEEE Trans. on Automatic Control, vol.62, issue.6, pp.2916-2922, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01379401

M. J. Park, O. M. Kwon, and A. Seuret, Closeness-centrality based synchronization criteria for complex dynamical networks with interval time-varying coupling delays, IEEE Trans. on Cybernetics, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01699188

P. G. Park, J. W. Ko, and C. Jeong, Reciprocally convex approach to stability of systems with time-varying delays, Automatica, vol.47, issue.1, pp.235-238, 2011.

P. G. Park, W. I. Lee, and S. Y. Lee, Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems, Journal of the Franklin Institute, vol.352, issue.4, pp.1378-1396, 2015.

P. A. Parrilo, Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, 2000.

P. A. Parrilo, Web site for SOSTOOLS, 2004.

M. M. Peet and P. Bliman, On the conservatism of the sum-of-squares method for analysis of time-delayed systems, Automatica, vol.47, issue.11, pp.2406-2411, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00761334

M. M. Peet, A. Papachristodoulou, and S. Lall, Positive forms and stability of linear time-delay systems, SIAM Journal on Control and Optimization, vol.47, issue.6, pp.3227-3258, 2009.

C. Peng and Q. Han, A novel event-triggered transmission scheme and L 2 control co-design for sampled-data control systems, IEEE Trans. on Automatic Control, vol.58, issue.10, pp.2620-2626, 2013.

R. Postoyan, A. Anta, W. P. Heemels, P. Tabuada, and D. Nesic, Periodic event-triggered control for nonlinear systems, Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, pp.7397-7402, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00875685

R. Postoyan, A. Anta, D. Ne?i´ne?i´c, and P. Tabuada, A unifying Lyapunov-based framework for the event-triggered control of nonlinear systems, Decision and Control and European Control Conference, pp.2559-2564, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00637977

R. Postoyan, P. Tabuada, D. Ne?i´ne?i´c, and A. Anta, A framework for the event-triggered stabilization of nonlinear systems, IEEE Trans. on Automatic Control, vol.60, issue.4, pp.982-996, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01108957

S. Prajna, A. Papachristodoulou, and P. A. Parrilo, Introducing SOSTOOLS: a general purpose sum of squares programming solver, Proceedings of the IEEE Conference on Decision and Control, 2002.

C. Prieur, A. Girard, and E. Witrant, Stability of switched linear hyperbolic systems by Lyapunov techniques. Automatic Control, IEEE Trans. on, vol.59, issue.8, pp.2196-2202, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00845766

M. Putinar, Positive polynomials on compact semi-algebraic sets, Indiana Univ. Math. J, vol.42, issue.3, pp.969-984, 1993.

R. L. Raffard, C. J. Tomlin, and S. P. Boyd, Distributed optimization for cooperative agents: Application to formation flight, 2004.

M. A. Rami and X. Y. Zhou, Linear matrix inequalities, Riccati equations, and indefinite stochastic linear quadratic controls. Automatic Control, IEEE Trans. on, vol.45, issue.6, pp.1131-1143, 2000.

W. Ren and R. W. Beard, Distributed consensus in multi-vehicle cooperative control, 2008.

C. W. Reynolds, Flocks, herds, and schools: A distributed behavioral model, Computer Graphics, vol.21, 1987.

J. Richard, Outils mathématiques pour les systèmes dynamiques, 2002.

J. Richard, Time delay systems: an overview of some recent advances and open problems, Automatica, vol.39, pp.1667-1694, 2003.

G. Rodrigues-de-campos, D. V. Dimarogonas, A. Seuret, and K. H. Johansson, Distributed control of compact formations for multi-robot swarms, IMA Journal of Mathematical Control and Information, p.73, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01416287

G. Rodrigues-de-campos and A. Seuret, Continuous-time double integrator consensus algorithms improved by an appropriate sampling, IFAC workshop on Distributed estimation and Control in Networked Systems (Necsys'10), 2010.
URL : https://hal.archives-ouvertes.fr/hal-00515427

G. Royle and C. Godsil, Algebraic graph theory, vol.8, 2001.

M. S. Sadabadi and D. Peaucelle, From static output feedback to structured robust static output feedback: A survey, Annual Reviews in Control, vol.42, pp.11-26, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01342560

M. Safi, L. Baudouin, and A. Seuret, Refined exponential stability analysis of a coupled system, IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01496136

M. Safi, L. Baudouin, and A. Seuret, Stability analysis of a system coupled to a transport equation using integral inequalities, Systems & Control Letters
URL : https://hal.archives-ouvertes.fr/hal-01310306

S. Sarlette, A. Bonnabel, and R. Sepulchre, Coordinated motion design on Lie groups, IEEE Trans. on Automatic Control, vol.55, issue.5, pp.1047-1058, 2010.

C. W. Scherer and S. Weiland, Linear matrix inequalities in control. Lecture Notes, Dutch Institute for Systems and Control, vol.3, 2000.

A. Selivanov and . Fridman, Distributed event-triggered control of transport-reaction systems, IFACPapersOnLine, vol.48, issue.11, pp.593-597, 2015.

A. Selivanov and E. Fridman, Distributed event-triggered control of diffusion semilinear PDEs, Automatica, vol.68, pp.344-351, 2016.

A. Selivanov and E. Fridman, Sampled-data relay control of diffusion PDEs, Automatica, vol.82, pp.59-68, 2017.

R. Sepulchre, D. A. Paley, and N. E. Leonard, Graph laplacian and lyapunov design of collective planar motions, International Symposium on Nonlinear Theory and its Applications, 2005.

R. Sepulchre, D. Paley, and N. E. Leonard, Stabilization of planar collective motion: All-to-all communication, IEEE Trans. on Automatic Control, vol.52, pp.811-824, 2007.

R. Sepulchre, D. A. Paley, and N. E. Leonard, Stabilization of planar collective motion with limited communication, IEEE Trans. on Automatic Control, vol.53, issue.3, pp.706-719, 2008.

A. Seuret, Commande et observation des systèmessystèmes`systèmesà retards variables: théorie et applications, 2006.

A. Seuret, Stability analysis for sampled-data systems with a time-varying period, 48 th IEEE Conference on Decision and Control, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00403252

A. Seuret, Exponential stability and stabilization of sampled-data systems with time-varying period, Proceedings of the 9 th IFAC Workshop on Time-Delay Systems, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00458829

A. Seuret, Stability analysis of networked control systems with asynchronous sampling and input delay, American Control Conference (ACC), pp.533-538, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00578771

A. Seuret, A novel stability analysis of linear systems under asynchronous samplings, Automatica, vol.48, issue.1, pp.177-182, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00610561

A. Seuret and C. Briat, Stability analysis of uncertain sampled-data systems with incremental delay using loopedfunctionals, Automatica, vol.55, pp.274-278, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01170887

A. Seuret and C. Briat, On the stability analysis of sampled-data systems with delays, Delays and Networked Control Systems, pp.97-112, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02057236

A. Seuret, C. Briat, and F. Gouaisbaut, Stability analysis of asynchronous sampled-data systems with discrete-time constant input delay, IEEE 53rd Annual Conference on, pp.4342-4347, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01065152

A. Seuret, M. Dambrine, and J. Richard, Robust exponential stabilization for systems with time-varying delays, IFAC Workshop on Time delay Systems, 2004.

A. Seuret, M. Dambrine, and J. Richard, Robust exponential stabilization for systems with time-varying delays, 5th Workshop on Time Delay Systems, 2004.

A. Seuret, D. V. Dimarogonas, and K. H. Johansson, Consensus of double integrator multi-agents under communication delay, IFAC Workshop on Time Delay systems (TDS'09), 2008.
URL : https://hal.archives-ouvertes.fr/hal-00391651

A. Seuret, D. V. Dimarogonas, and K. H. Johansson, Consensus under communication delays, IEEE Conference on Decision and Control (CDC'08), 2008.
DOI : 10.1109/cdc.2008.4739278

URL : https://hal.archives-ouvertes.fr/hal-00386104

A. Seuret, C. Edwards, S. K. Spurgeon, and E. Fridman, Static output feedback sliding mode control design via an artificial stabilizing delay, IEEE Trans. on Automatic Control, vol.54, issue.2, pp.256-265, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00386290

A. Seuret, T. Floquet, and J. Richard, A sliding mode observer for linear systems with unknown time varying delay, American Control Conference, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00385904

A. Seuret, T. Floquet, and J. Richard, Observateurs pour systèmessystèmes`systèmesà retard variable et inconnu, Conférence Internationale Francophone en Automatique, CIFA, 2006.

A. Seuret and E. Fridman, Wirtinger-like Lyapunov-Krasovskii functionals for discrete-time delay systems, IMA Journal of Mathematical Control and Information, 2017.
DOI : 10.1093/imamci/dnx002

A. Seuret, E. Fridman, and J. Richard, Sampled-data exponential stabilization of neutral systems with input and state delays, IEEE MED 2005, 13 th Mediterranean Conference on Control and Automation, 2005.

A. Seuret and J. Gomes-da-silva, Taking into account period variations and actuator saturation in sampleddata systems, Systems & Control Letters, vol.61, issue.12, pp.1286-1293, 2012.
DOI : 10.1016/j.sysconle.2012.09.003

A. Seuret and F. Gouaisbaut, On the use of the Wirtinger's inequalities for time-delay systems, 10 th IFAC Workshop on Time Delay Systems (IFAC TDS'12), 2012.

A. Seuret and F. Gouaisbaut, Integral inequality for time-varying delay systems, European Control Conference, pp.3360-3365, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00822718

A. Seuret and F. Gouaisbaut, Wirtinger-based integral inequality: Application to time-delay systems, Automatica, vol.49, issue.9, pp.2860-2866, 2013.
DOI : 10.1016/j.automatica.2013.05.030

URL : https://hal.archives-ouvertes.fr/hal-00855159

A. Seuret and F. Gouaisbaut, Complete quadratic Lyapunov functionals using Bessel-Legendre inequality. Proceeding of the 13th European Control Conference, 2014.
DOI : 10.1109/ecc.2014.6862453

URL : https://hal.archives-ouvertes.fr/hal-00983321

A. Seuret and F. Gouaisbaut, Hierarchy of LMI conditions for stability of time delay systems, Systems & Control Letters, vol.81, pp.1-7, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01065142

A. Seuret and F. Gouaisbaut, Delay-dependent reciprocally convex combination lemma, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01257670

A. Seuret and F. Gouaisbaut, Allowable delay sets for the stability analysis of linear time-varying delay systems using a delay-dependent reciprocally convex lemma, IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01496294

A. Seuret and F. Gouaisbaut, Stability of linear systems with time-varying delays using Bessel-Legendre inequalities, IEEE Trans. on Automatic Control, vol.63, issue.1, pp.225-232, 2018.
DOI : 10.1109/tac.2017.2730485

URL : https://hal.archives-ouvertes.fr/hal-01537184

A. Seuret, F. Gouaisbaut, and Y. Ariba, Complete quadratic Lyapunov functionals for distributed delay systems, Automatica, vol.62, pp.168-176, 2015.
DOI : 10.1016/j.automatica.2015.09.030

URL : https://hal.archives-ouvertes.fr/hal-01257679

A. Seuret, F. Gouaisbaut, and E. Fridman, Stability of systems with fast-varying delay using improved wirtinger's inequality, Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, pp.946-951, 2013.

A. Seuret, F. Gouaisbaut, and E. Fridman, Stability of discrete-time systems with time-varying delays via a novel summation inequality, IEEE Trans. on Automatic Control, vol.60, issue.10, pp.2740-2745, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01109796

A. Seuret, F. Gouaisbaut, and K. Liu, Discretized Jensen's inequality: an alternative vision of the reciprocally convex combination lemma, 14 th IFAC Workshop on Time Delay Systems (IFAC TDS'16), 2016.

A. Seuret, F. Gouaisbaut, S. Tarbouriech, and J. Silva, Improved stability criteria for sampled-data systems with input saturation, Recent Results on Nonlinear Delay Control Systems, pp.311-325, 2016.
DOI : 10.1007/978-3-319-18072-4_16

A. Seuret, K. Liu, and F. Gouaisbaut, Generalized reciprocally convex combination lemmas and its application to time-delay systems, Automatica, vol.95, pp.488-493, 2018.
DOI : 10.1016/j.automatica.2018.06.017

URL : https://hal.archives-ouvertes.fr/hal-01793309

A. Seuret and M. M. Peet, Sum of squares for stability of sampled-data systems, IFAC World Congress, vol.18, pp.1441-1446, 2011.

A. Seuret and M. M. Peet, Stability analysis of sampled-data systems using sum of squares, IEEE Trans. on Automatic Control, vol.58, issue.6, pp.1620-1625, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00753538

A. Seuret and C. Prieur, Event-triggered sampling algorithms based on a Lyapunov function, Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on, pp.6128-6133, 2011.
DOI : 10.1109/cdc.2011.6160911

URL : https://hal.archives-ouvertes.fr/hal-00610542

A. Seuret, C. Prieur, and N. Marchand, Stability of non-linear systems by means of event-triggered sampling algorithms, IMA Journal of Mathematical Control and Information, vol.31, issue.3, pp.415-433, 2013.

A. Seuret, C. Prieur, S. Tarbouriech, L. Teel, and . Zaccarian, A nonsmooth hybrid invariance principle applied to robust event-triggered design. submitted to, IEEE Trans. on Automatic Control, 2017.
DOI : 10.1109/tac.2018.2863188

URL : https://hal.archives-ouvertes.fr/hal-01526331

A. Seuret, C. Prieur, S. Tarbouriech, and L. Zaccarian, Event-triggered control with lq optimality guarantees for saturated linear systems, 9th IFAC Symposium on Nonlinear Control Systems (Nolcos'2013), 2013.
DOI : 10.3182/20130904-3-fr-2041.00153

URL : https://hal.archives-ouvertes.fr/hal-00845303

A. Seuret, C. Prieur, S. Tarbouriech, and L. Zaccarian, Event-triggered control via reset control systems framework, vol.49, pp.170-175, 2016.
DOI : 10.1016/j.ifacol.2016.10.158

URL : https://hal.archives-ouvertes.fr/hal-01341970

A. Seuret, C. Prieur, S. Tarbouriech, and L. Zaccarian, LQ-based event-triggered controller co-design for saturated linear systems, Automatica, vol.74, pp.47-54, 2016.
DOI : 10.1016/j.automatica.2016.07.004

URL : https://hal.archives-ouvertes.fr/hal-01344252

G. S. Seyboth, D. V. Dimarogonas, and K. H. Johansson, Event-based broadcasting for multi-agent average consensus, Automatica, vol.49, issue.1, pp.245-252, 2013.
DOI : 10.1016/j.automatica.2012.08.042

S. N. Shimanov, On stability in the critical case of a zero root for systems with time lag, J. Appl. Math. Mech, vol.24, pp.653-668, 1960.

R. Sipahi, S. Niculescu, C. T. Abdallah, W. Michiels, and K. Gu, Stability and stabilization of systems with time delay, Control Systems, vol.31, issue.1, pp.38-65, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00664367

R. Sipahi and N. Olgac, Complete stability robustness of third-order LTI multiple time-delay systems, Automatica, vol.41, issue.8, pp.1413-1422, 2005.

R. E. Skelton, T. Iwasaki, and D. E. Grigoriadis, A unified algebraic approach to control design, 1997.

O. Solomon and E. Fridman, New stability conditions for systems with distributed delays, Automatica, vol.49, issue.11, pp.3467-3475, 2013.

M. Souza and J. C. Geromel, On a convex characterisation of stability and performance for hybrid linear systems, Decision and Control (CDC), 2015 IEEE 54th Annual Conference on, pp.6623-6628, 2015.

L. Stone, B. Shulgin, and Z. Agur, Theoretical examination of the pulse vaccination policy in the SIR epidemic model, Mathematical and computer modelling, vol.31, pp.201-215, 2000.

J. F. Sturm, Using SeDuMi 1.02, a Matlab Toolbox for optimization over symmetric cones, Optimization Methods and Software, pp.625-653, 1999.
DOI : 10.1080/10556789908805766

J. Sun, G. P. Liu, and J. Chen, Delay-dependent stability and stabilization of neutral time-delay systems, Int. Journal of Robust and Nonlinear Control, vol.19, issue.12, pp.1364-1375, 2009.

J. Sun, G. P. Liu, J. Chen, and D. Rees, Improved delay-range-dependent stability criteria for linear systems with time-varying delays, Automatica, vol.46, issue.2, pp.466-470, 2010.

P. Tabuada, Event-triggered real-time scheduling of stabilizing control tasks, IEEE Trans. on Automatic Control, vol.52, issue.9, pp.1680-1685, 2007.

P. Tallapragada and N. Chopra, Event-triggered dynamic output feedback control for LTI systems, 51st IEEE Conference on Decision and Control, pp.6597-6602, 2012.

S. Tarbouriech, G. Garcia, J. M. Gomes-da-silva, and I. Queinnec, Stability and Stabilization of Linear Systems with Saturating Actuators, 2011.

S. Tarbouriech, A. Seuret, J. M. Gomes-da-silva, and D. Sbarbaro, Observer-based event-triggered control co-design for linear systems, IET Control Theory & Applications, vol.10, issue.18, pp.2466-2473, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01358990

S. Tarbouriech, A. Seuret, L. Moreira, J. Gomes-da, and . Silva, Observer-based event-triggered control for linear systems subject to cone-bounded nonlinearities, IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01497747

S. Tarbouriech and M. Turner, Anti-windup design: an overview of some recent advances and open problems, IET control theory & applications, vol.3, issue.1, pp.1-19, 2009.

A. R. Teel, A nonlinear small gain theorem for the analysis of control systems with saturation, IEEE Trans. on Automatic Control, vol.41, issue.9, pp.1256-1270, 1996.

G. Valmorbida, M. Ahmadi, and A. Papachristodoulou, Semi-definite programming and functional inequalities for distributed parameter systems, IEEE 53rd Annual Conference on, pp.4304-4309, 2014.

J. G. Vanantwerp and R. D. Braatz, A tutorial on linear and bilinear matrix inequalities, Journal of Process Control, vol.10, issue.4, pp.363-385, 2000.

R. Vazquez, J. Coron, M. Krstic, and G. Bastin, Local exponential H 2 stabilization of a 2× 2 quasilinear hyperbolic system using backstepping, 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), pp.1329-1334, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00726867

J. Veenman, C. W. Scherer, and H. Koroglu, Robust stability and performance analysis based on integral quadratic constraints, European Journal of Control, vol.31, pp.1-32, 2016.

M. Velasco, P. Martí, and E. Bini, On Lyapunov sampling for event-driven controllers, 48th IEEE Conference on Decision and Control, pp.6238-6243, 2009.

X. Wang and M. D. Lemmon, Event design in event-triggered feedback control systems, 47th IEEE Conference on Decision and Control, pp.2105-2110, 2008.

E. Witrant, E. Joffrin, S. Brémond, G. Giruzzi, D. Mazon et al., A control-oriented model of the current profile in tokamak plasma, Plasma Physics and Controlled Fusion, vol.49, issue.7, p.1075, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00387534

W. Wolf, Cyber-physical systems, Computer, vol.42, issue.3, pp.88-89, 2009.

W. Wu, S. Reimann, and S. Liu, Event-triggered control for linear systems subject to actuator saturation, IFAC Proceedings Volumes, vol.47, pp.9492-9497, 2014.

L. Xie, E. Fridman, and U. Shaked, Robust h ? control of distributed delay systems with applications to combustion control, IEEE Trans. on Automatic Control, vol.46, issue.12, pp.1930-1935, 2001.

Q. Xu, G. Stepan, and Z. Wang, Delay-dependent stability analysis by using delay-independent integral evaluation, Automatica, vol.70, pp.153-157, 2016.

S. Xu and J. Lam, Improved delay-dependent stability criteria for time-delay systems. ieetac, vol.50, pp.384-387, 2005.

T. Yang, Impulsive control theory, 2001.

T. C. Yang, Networked control system: a brief survey, IEE Proceedings-Control Theory and Applications, vol.153, issue.4, pp.403-412, 2006.

Z. Yao and N. H. El-farra, Resource-aware model predictive control of spatially distributed processes using eventtriggered communication, IEEE Conference on Decision and Control, pp.3726-3731, 2013.

H. Yu and P. J. Antsaklis, Event-triggered output feedback control for networked control systems using passivity: Achieving l2 stability in the presence of communication delays and signal quantization, Automatica, vol.49, issue.1, pp.30-38, 2013.

D. Yue, Q. Han, and J. Lam, Stability and stabilization of nonuniform sampling systems, Automatica, vol.44, issue.12, pp.3222-3226, 2008.

D. Yue, E. Tian, and Q. Han, A delay system method for designing event-triggered controllers of networked control systems, IEEE Trans. on Automatic Control, vol.58, issue.2, pp.475-481, 2013.

S. Zampieri, A survey of recent results in Networked Control Systems, Proc. 17 th IFAC World Congress, 2008.

H. Zeng, Y. He, M. Wu, and J. She, Free-matrix-based integral inequality for stability analysis of systems with time-varying delay, IEEE Trans. on Automatic Control, vol.60, issue.10, pp.2768-2772, 2015.

H. Zeng, Y. He, M. Wu, and C. Zhang, Complete delay-decomposing approach to asymptotic stability for neural networks with time-varying delays, IEEE Trans. on Neural Networks, vol.22, issue.5, pp.806-812, 2011.

H. Zeng, K. L. Teo, and Y. He, A new looped-functional for stability analysis of sampled-data systems. Automatica, 2017.

C. Zhang, Y. He, L. Jiang, M. Wu, and H. Z. , Summation inequalities to bounded real lemmas of discretetime systems with time-varying delay, IEEE Trans. on Automatic Control, 2016.

C. Zhang, Y. He, L. Jiang, M. Wu, and H. Zeng, Stability analysis of systems with time-varying delay via relaxed integral inequalities, Systems & Control Letters, vol.92, pp.52-61, 2016.

F. Zhang and N. E. Leonard, Cooperative filters and control for cooperative exploration, IEEE Trans. on Automatic Control, vol.55, issue.3, pp.650-663, 2010.

J. Zhang, C. R. Knopse, and P. Tsiotras, Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions, IEEE Trans. on Automatic Control, vol.46, issue.3, pp.482-486, 2001.

W. Zhang and M. S. Branicky, Stability of networked control systems with time-varying transmission period, Allerton Conf. Communication, Control, and Computing, 2001.

W. Zhang, M. S. Branicky, and S. M. Phillips, Stability of networked control systems, IEEE Control Systems Magazine, issue.21, 2001.

X. Zhang and Q. Han, A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays, Int. Journal of Robust and Nonlinear Control, vol.19, issue.17, pp.1922-1930, 2009.

X. Zhang and Q. Han, Event-triggered dynamic output feedback control for networked control systems, IET Control Theory & Applications, vol.8, issue.4, pp.226-234, 2014.

X. Zhang and Q. Han, Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete time-delay systems, Automatica, vol.57, pp.199-202, 2015.

X. Zhang, Q. Han, A. Seuret, and F. Gouaisbaut, An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay, Automatica, vol.84, pp.221-226, 2017.