@article{(Open Science Index):https://publications.waset.org/pdf/5778, title = {A New Stability Analysis and Stabilization of Discrete-Time Switched Linear Systems Using Vector Norms Approach}, author = {Marwen Kermani and Anis Sakly and Faouzi M'sahli}, country = {}, institution = {}, abstract = {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. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {6}, number = {11}, year = {2012}, pages = {1590 - 1595}, ee = {https://publications.waset.org/pdf/5778}, url = {https://publications.waset.org/vol/71}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 71, 2012}, }