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Delay‐dependent robust stability for stochastic time‐delay systems with polytopic uncertainties
Authors:Hongyi Li  Bing Chen  Qi Zhou  Chong Lin
Abstract: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.
Keywords:delay‐dependent  stochastic systems  robust stochastic stability  parameter‐dependent  LMIs
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