%0 Journal Article
	%A Marwen Kermani and  Anis Sakly and  Faouzi M'sahli
	%D 2012
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 71, 2012
	%T A New Stability Analysis and Stabilization of Discrete-Time Switched Linear Systems Using Vector Norms Approach
	%U https://publications.waset.org/pdf/5778
	%V 71
	%X In this paper, we aim to investigate a new stability analysis for discrete-time switched linear systems based on the comparison, the overvaluing principle, the application of Borne-Gentina criterion and the Kotelyanski conditions. This stability conditions issued from vector norms correspond to a vector Lyapunov function. In fact, the switched system to be controlled will be represented in the Companion form. A comparison system relative to a regular vector norm is used in order to get the simple arrow form of the state matrix that yields to a suitable use of Borne-Gentina criterion for the establishment of sufficient conditions for global asymptotic stability. This proposed approach could be a constructive solution to the state and static output feedback stabilization problems.

	%P 1590 - 1595