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Journal of Applied MathematicsVolume 2011 2011, Article ID 523020, 20 pages

Research ArticleSchool of Science, Tianjin Polytechnic University, Tianjin 300387, China

Received 17 July 2011; Revised 12 September 2011; Accepted 14 September 2011

Academic Editor: Vu Phat

Copyright © 2011 Yali Dong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with the robust stability for a class of switched discrete-time systems with state parameter uncertainty. Firstly, a new matrix inequality considering uncertainties is introduced and proved. By means of it, a novel sufficient condition for robust stability of a class of uncertain switched discrete-time systems is presented. Furthermore, based on the result obtained, the switching law is designed and has been performed well, and some sufficient conditions of robust stability have been derived for the uncertain switched discrete-time systems using the Lyapunov stability theorem, block matrix method and inequality technology. Finally, some examples are exploited to illustrate the effectiveness of the proposed schemes.

Autor: Yali Dong



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