B. N. Zhao and Y. Kao, ser. Studies in Systems, Decision and Control 80, Control Synthesis of Switched Systems, 2017.

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.
DOI : 10.1109/TAC.2002.804474

G. Battistelli, On stabilization of switching linear systems, Automatica, vol.49, issue.5, pp.1162-1173, 2013.
DOI : 10.1016/j.automatica.2013.01.055

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.
DOI : 10.1016/j.amc.2008.05.149

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.
DOI : 10.1109/TAC.2004.832652

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.
DOI : 10.1016/S0167-6911(01)00118-9

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.
DOI : 10.1016/j.automatica.2013.09.046
URL : https://hal.archives-ouvertes.fr/hal-00877196

S. Ibrir and S. Diopt, Novel LMI conditions for observer-based stabilization of Lipschitzian nonlinear systems and uncertain
URL : https://hal.archives-ouvertes.fr/hal-00830851

S. Ibrir, Design of static and dynamic output feedback controllers through Euler approximate models: uncertain systems with norm-bounded uncertainties, IMA Journal of Mathematical Control and Information, vol.25, issue.3, pp.281-296, 2008.
DOI : 10.1093/imamci/dnm023

. Zhijian, L. Ji, G. Wang, and . Xie, Stabilizing discrete-time switched systems via observer-based static output feedback, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme, System Security and Assurance (Cat. No.03CH37483), pp.2545-2550, 2003.
DOI : 10.1109/ICSMC.2003.1244266

. Jiao, Y. Li, and . Liu, Stabilization of a class of discrete-time switched systems via observer-based output feedback, Journal of Control Theory and applications, vol.5, issue.3, pp.307-311, 2007.

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.
DOI : 10.1109/CDC.2016.7799385
URL : https://hal.archives-ouvertes.fr/hal-01418759

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.
DOI : 10.1109/TAC.2008.2012009

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.
DOI : 10.1109/9.827355
URL : https://hal.archives-ouvertes.fr/hal-00877198

W. Heemels, J. Daafouz, and G. Millerioux, Observer-Based Control of Discrete-Time LPV Systems With Uncertain Parameters $ $, IEEE Transactions on Automatic Control, vol.55, issue.9, pp.2130-2135, 2010.
DOI : 10.1109/TAC.2010.2051072
URL : https://hal.archives-ouvertes.fr/hal-00529186

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

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.
DOI : 10.1016/j.nahs.2014.11.001

M. De-oliveira, J. Bernussou, and J. Geromel, A new discrete-time robust stability condition, Systems & Control Letters, vol.37, issue.4, pp.261-265, 1999.
DOI : 10.1016/S0167-6911(99)00035-3

G. I. Bara and M. Boutayeb, Switched Output Feedback Stabilization of Discrete-Time Switched Systems, Proceedings of the 45th IEEE Conference on Decision and Control, pp.2667-2672, 2006.
DOI : 10.1109/CDC.2006.376892