D. Liberzon and A. Morse, Basic problems in stability and design of switched systems, IEEE Control Systems Magazine, vol.19, issue.5, pp.59-70, 1999.
DOI : 10.1109/37.793443

R. Decarlo, M. Branicky, S. Pettersson, and B. Lennartson, Perpectives and results on the stability and stabilizability of hybrid systems, Proceedings of the IEEE Conference on Decision and Control, pp.1069-1082, 2000.

A. Balluchi, M. D. Benedetto, C. Pinello, C. Rossi, and A. Sangiovanni-vincentelli, Cut-off in engine control: a hybrid system approach, Proceedings of the 36th IEEE Conference on Decision and Control, pp.4720-4725, 1997.

W. Zhang, M. S. Branicky, and S. M. Phillips, Stability of networked control systems, IEEE Control Systems Magazine, vol.21, issue.1, pp.84-99, 2001.
DOI : 10.1109/37.898794

J. Daafouz, P. Riedinger, and C. Iung, Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach, IEEE Transactions on Automatic Control, vol.47, issue.11, pp.1883-1887, 2002.

G. Battistelli, On stabilization of switching linear systems, Automatica, vol.49, issue.5, pp.1162-1173, 2013.

S. Ibrir, Stability and robust stabilization of discrete-time switched systems with time-delays: LMI approach, Applied Mathematics and Computation, vol.206, issue.2, pp.570-578, 2008.

A. Alessandri, M. Baglietto, and G. Battistelli, On Estimation Error Bounds for Receding-Horizon Filters Using Quadratic Boundedness, IEEE Transactions on Automatic Control, vol.49, issue.8, pp.1350-1355, 2004.

J. Daafouz and J. Bernussou, Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties, Systems & Control Letters, vol.43, issue.5, pp.355-359, 2001.

H. Kheloufi, A. Zemouche, F. Bedouhene, and M. Boutayeb, On LMI conditions to design observer-based controllers for linear systems with parameter uncertainties, Automatica, vol.49, issue.12, pp.3700-3704, 2013.

X. Chang and G. Yang, New Results on Output Feedback <formula formulatype="inline"> <tex Notation="TeX">$H_{\infty}$</tex></formula> Control for Linear Discrete-Time Systems, IEEE Transactions on Automatic Control, vol.59, issue.5, pp.1355-1359, 2014.

S. Ibrir and S. Diopt, Novel LMI conditions for observer-based stabilization of Lipschitzian nonlinear systems and uncertain linear systems in discrete-time, Applied Mathematics and Computation, vol.206, issue.2, pp.579-588, 2008.

Z. Ji, L. Wang, and G. Xie, Stabilizing discrete-time switched systems via observer-based static output feedback, IEEE International Conference on Systems, pp.2545-2550, 2003.

J. Li and Y. Liu, Stabilization of a class of discrete-time switched systems via observer-based output feedback, Journal of Control Theory and Applications, vol.47, issue.11, pp.307-311, 2007.

M. S. Mahmoud and Y. Xia, Robust Stability and Stabilization of a Class of??Nonlinear Switched Discrete-Time Systems with??Time-Varying Delays, Journal of Optimization Theory and Applications, vol.13, issue.1, pp.329-355, 2009.

H. Bibi, F. Bedouhene, A. Zemouche, H. Kheloufi, and H. Trinh, Observer-based control design via LMIs for a class of switched discrete-time linear systems with parameter uncertainties, 2016 IEEE 55th Conference on Decision and Control (CDC), pp.7234-7239, 2016.

H. Lin and P. J. Antsaklis, Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results, IEEE Transactions on Automatic Control, vol.54, issue.2, pp.308-322, 2009.

S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan, Linear matrix inequalities in system and control theory, ser, SIAM Studies in Applied Mathematics, vol.15, 1994.

A. Alessandri, M. Baglietto, and G. Battistelli, Luenberger observers for switching discrete-time linear systems, International Journal of Control, vol.80, issue.12, pp.1931-1943, 2007.

Y. Qian, Z. Xiang, and H. R. Karimi, Disturbance tolerance and rejection of discrete switched systems with time-varying delay and saturating actuator, Nonlinear Analysis: Hybrid Systems, vol.16, pp.81-92, 2015.

B. Grandvallet, A. Zemouche, H. Souley-ali, and M. Boutayeb, New LMI Condition for Observer-Based $\mathcal{H}_{\infty}$ Stabilization of a Class of Nonlinear Discrete-Time Systems, SIAM Journal on Control and Optimization, vol.51, issue.1, pp.784-800, 2013.
DOI : 10.1137/11085623X