Research Article
Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties
Hongyi Li,
Bing Chen,
Qi Zhou,
Chong Lin,
Corresponding Author
Hongyi Li
Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China
Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China===Search for more papers by this authorBing Chen
Institute of Complexity Science, Qingdao University, Qingdao 266071, People's Republic of China
Search for more papers by this authorQi Zhou
Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China
Search for more papers by this authorChong Lin
Institute of Complexity Science, Qingdao University, Qingdao 266071, People's Republic of China
Search for more papers by this authorHongyi Li,
Bing Chen,
Qi Zhou,
Chong Lin,
Corresponding Author
Hongyi Li
Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China
Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China===Search for more papers by this authorBing Chen
Institute of Complexity Science, Qingdao University, Qingdao 266071, People's Republic of China
Search for more papers by this authorQi Zhou
Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, People's Republic of China
Search for more papers by this authorChong Lin
Institute of Complexity Science, Qingdao University, Qingdao 266071, People's Republic of China
Search for more papers by this authorAbstract
This paper considers a delay-dependent and parameter-dependent robust stability criterion for stochastic time-delay systems with polytopic uncertainties. The delay-dependent robust stability criterion, as expressed in terms of linear matrix inequalities (LMIs), is obtained by using parameter-dependent Lyapunov functions. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. Numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.
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