@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},
	}