M. Barreau, F. Gouaisbaut, A. Seuret, and R. Sipahi, Input / output stability of a damped string equation coupled with ordinary differential system. Working paper, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01690626

L. Baudouin, A. Seuret, F. Gouaisbaut, and M. Dattas, Lyapunov stability analysis of a linear system coupled to a heat equation. * *This work is supported by the ANR project SCIDiS contract number 15-CE23-0014, 20th IFAC World Congress, pp.11978-11983, 2017.
DOI : 10.1016/j.ifacol.2017.08.1889
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, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01310306

D. Bresch-pietri and M. Krstic, Output-feedback adaptive control of a wave PDE with boundary anti-damping, Automatica, vol.50, issue.5, pp.1407-1415, 2014.
DOI : 10.1016/j.automatica.2014.02.040

F. Castillo, E. Witrant, C. Prieur, and L. Dugard, Dynamic boundary stabilization of linear and quasi-linear hyperbolic systems, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.2952-2957, 2012.
DOI : 10.1109/CDC.2012.6426802
URL : https://hal.archives-ouvertes.fr/hal-00718725

F. Castillo, E. Witrant, C. Prieur, and L. Dugard, Dynamic Boundary Stabilization of First Order Hyperbolic Systems, Recent Results on Time-Delay Systems, pp.169-190, 2016.
DOI : 10.1007/978-3-319-26369-4_9
URL : https://hal.archives-ouvertes.fr/hal-01272739

E. Cerpa and C. Prieur, Effect of time scales on stability of coupled systems involving the wave equation, 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017.
DOI : 10.1109/CDC.2017.8263825
URL : https://hal.archives-ouvertes.fr/hal-01670643

G. Chen and J. Zhou, The Wave Propagation Method for the Analysis of Boundary Stabilization in Vibrating Structures, SIAM Journal on Applied Mathematics, vol.50, issue.5, pp.1254-1283, 1990.
DOI : 10.1137/0150076

J. M. Coron, Control and nonlinearity. Number 136 in Mathematical Surveys and Monographs, 2007.

J. M. Coron, B. Novel, G. Bastin-]-r, D. Courant, and . Hilbert, A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws, IEEE Transactions on Automatic Control, vol.52, issue.1, pp.2-11, 1989.
DOI : 10.1109/TAC.2006.887903

B. Novel, F. Boustany, F. Conrad, and B. P. Rao, Feedback stabilization of a hybrid PDE-ODE system: Application to an overhead crane, Mathematics of Control, Signals, and Systems, vol.28, issue.2, pp.1-22, 1994.
DOI : 10.1007/BF01211483

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.
DOI : 10.1016/j.automatica.2016.04.009
URL : https://hal.archives-ouvertes.fr/hal-01309671

A. Helmicki, C. A. Jacobson, and C. N. Nett, Ill-posed distributed parameter systems: a control viewpoint, IEEE Transactions on Automatic Control, vol.36, issue.9, pp.1053-1057, 1991.
DOI : 10.1109/9.83536

M. Krstic, Delay compensation for nonlinear, adaptive, and PDE systems, 2009.
DOI : 10.1007/978-0-8176-4877-0

M. Krstic, Dead-time compensation for wave/string PDEs, Journal of Dynamic Systems, Measurement, and Control, vol.133, issue.3, 2011.
DOI : 10.1109/cdc.2009.5400099

J. Lagnese, Decay of solutions of wave equations in a bounded region with boundary dissipation, Journal of Differential Equations, vol.50, issue.2, pp.163-182, 1983.
DOI : 10.1016/0022-0396(83)90073-6

J. Lions, Exact Controllability, Stabilization and Perturbations for Distributed Systems, SIAM Review, vol.30, issue.1, pp.1-68, 1988.
DOI : 10.1137/1030001

J. Löfberg, YALMIP : a toolbox for modeling and optimization in MATLAB, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508), pp.284-289, 2005.
DOI : 10.1109/CACSD.2004.1393890

Z. Luo and B. Guo, Stability and stabilization of infinite dimensional systems with applications [21] ¨ O. Morgül. A dynamic control law for the wave equation [22] ¨ O. Morgül. On the stabilization and stability robustness against small delays of some damped wave equations, Morgül. An exponential stability result for the wave equation, pp.1785-17921626, 1994.

C. Prieur, S. Tarbouriech, and J. M. Da-silva, Wave Equation With Cone-Bounded Control Laws, IEEE Transactions on Automatic Control, vol.61, issue.11, pp.613452-3463, 2016.
DOI : 10.1109/TAC.2016.2519759
URL : https://hal.archives-ouvertes.fr/hal-01448483

M. Safi, L. Baudouin, and A. Seuret, Refined exponential stability analysis of a coupled system * *The paper was partially supported by the ANR projects LimICoS and SCIDIS. Corresponding author. Fax +33-561336411., 20th IFAC World Congress, pp.11972-11977, 2017.
DOI : 10.1016/j.ifacol.2017.08.1758

A. Seuret and F. Gouaisbaut, Hierarchy of LMI conditions for the stability analysis of time-delay systems, Systems & Control Letters, vol.81, pp.1-7, 2015.
DOI : 10.1016/j.sysconle.2015.03.007
URL : https://hal.archives-ouvertes.fr/hal-01065142

S. Tang and C. Xie, State and output feedback boundary control for a coupled PDE???ODE system, Systems & Control Letters, vol.60, issue.8, pp.540-545, 2011.
DOI : 10.1016/j.sysconle.2011.04.011

M. Tucsnak and G. Weiss, Observation and control for operator semigroups, 2009.
DOI : 10.1007/978-3-7643-8994-9
URL : https://hal.archives-ouvertes.fr/hal-00590673

H. Wu and J. Wang, Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE???beam systems, Automatica, vol.50, issue.11, pp.502787-2798, 2014.
DOI : 10.1016/j.automatica.2014.09.006