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2011 Robust Stability Analysis for Uncertain Switched Discrete-Time Systems
Yali Dong
J. Appl. Math. 2011: 1-20 (2011). DOI: 10.1155/2011/523020


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.


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Yali Dong. "Robust Stability Analysis for Uncertain Switched Discrete-Time Systems." J. Appl. Math. 2011 1 - 20, 2011.


Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1235.93185
MathSciNet: MR2854968
Digital Object Identifier: 10.1155/2011/523020

Rights: Copyright © 2011 Hindawi


Vol.2011 • 2011
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