%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