C. Sanchez, G. Garcia, and L. Zaccarian, Hybrid dynamic modeling and control of switched affine systems: application to DC-DC converters, IEEE Conference on Decision and Control (CDC), 2015.
URL : https://hal.archives-ouvertes.fr/hal-01220447

A. Sanchez, G. Garcia, S. Hadjeras, W. P. Heemels, and L. Zaccarian, Practical stabilisation of switched affine systems with dwell-time guarantees, IEEE Trans. on Automatic Control, vol.64, issue.11, pp.4811-4817, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01617999

D. Antunes and W. P. Heemels, Linear quadratic regulation of switched systems using informed policies, IEEE Trans. on Automatic Control, vol.62, issue.6, pp.2675-2688, 2017.

G. Beneux, P. Riedinger, J. Daafouz, and L. Grimaud, Adaptive stabilization of switched affine systems with unknown equilibrium points: Application to power converters, Automatica, vol.99, pp.82-91, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01918654

J. Buisson, P. Y. Richard, and H. Cormerais, On the stabilisation of switching electrical power converters, Hybrid Systems: Computation and Control, vol.3414, pp.184-197
URL : https://hal.archives-ouvertes.fr/hal-00772735

C. A. Cavichioli-gonzaga, Analyse de stabilité et de performance d'une classe de systèmes non linéairesà commutations en temps discret, vol.09, p.2012

C. A. Gonzaga, M. Jungers, and J. Daafouz, Stability analysis of discrete-time Lur'e systems, Automatica, vol.48, issue.9, pp.2277-2283, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00717576

G. S. Deaecto, J. C. Geromel, F. S. Garcia, and J. A. Pomilio, Switched affine systems control design with application to DC-DC converters, IET control theory & applications, vol.4, issue.7, pp.1201-1210, 2010.

G. S. Deaecto and J. C. Geromel, Stability analysis and control design of discrete-time switched affine systems, IEEE Trans.on Automatic Control, vol.62, issue.8, pp.4058-4065, 2016.

C. Edwards and S. Spurgeon, Sliding mode control: theory and applications, 1998.

L. N. Egidio and G. S. Deaecto, Novel practical stability conditions for discrete-time switched affine systems, IEEE Trans. on Automatic Control, 2019.

E. Feron, Quadratic stabilizability of switched systems via state and output feedback, 1996.

J. C. Geromel and P. Colaneri, Stability and stabilization of discrete time switched systems, International Journal of Control, vol.79, issue.07, pp.719-728, 2006.

M. Grant and S. Boyd, Cvx: Matlab software for disciplined convex programming, version 2.1, 2014.

P. Hauroigne, P. Riedinger, C. Iung, A. Heemels, J. Kundu et al., On Lyapunov-Metzler inequalities and s-procedure characterizations for the stabilization of switched linear systems, IEEE Transactions on Automatic Control, vol.56, issue.12, pp.4593-4597, 2011.

L. Hetel and E. Bernuau, Local stabilization of switched affine systems, IEEE Trans. on Automatic Control, vol.60, issue.4, pp.1158-1163, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01058070

L. Hetel and E. Fridman, Robust sampled-data control of switched affine systems, IEEE Trans. on Automatic Control, vol.58, issue.11, pp.2922-2928, 2013.

D. Liberzon, Switching in systems and control, 2003.

D. Liberzon, Switching in systems and control, 2003.

H. Lin and P. J. Antsaklis, Stability and stabilizability of switched linear systems: a survey of recent results, IEEE Trans. on Automatic control, vol.54, issue.2, pp.308-322, 2009.

C. Seatzu, D. Corona, A. Giua, and A. Bemporad, Optimal control of continuous-time switched affine systems, IEEE Transactions on Automatic Control, vol.51, issue.5, pp.726-741, 2006.

M. Senesky, G. Eirea, and T. J. Koo, Hybrid modelling and control of power electronics, Hybrid Systems: Computation and Control, vol.2623, pp.450-465, 2003.

R. Shorten, F. Wirth, O. Mason, K. Wulff, and C. King, Stability criteria for switched and hybrid systems, SIAM review, vol.49, issue.4, pp.545-592, 2007.

Y. Shtessel, C. Edwards, L. Fridman, A. Levant-;-andrey-v-savkin, and I. R. Petersen, Stability results for switched controller systems, Automatica, vol.35, issue.4, pp.553-564, 1999.

W. Su, S. V. Drakunov, and U. Ozguner, An o(t 2 ) boundary layer in sliding mode for sampled-data systems, IEEE Trans. on Automatic Control, vol.45, issue.3, pp.482-485, 2000.

T. A. Theunisse, J. Chai, R. G. Sanfelice, and W. P. Heemels, Robust global stabilization of the DC-DC boost converter via hybrid control, IEEE Trans. on Circuits and Systems I: Regular Papers, vol.62, issue.4, pp.1052-1061, 2015.

A. Ventosa-cutillas, C. Sanchez, A. Seuret, and F. Gordillo, Robust switching control design for uncertain discrete-time switched affine systems, Submitted to International Journal of Robust and Nonlinear Control, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01873023