Stability Criteria for Singular Stochastic Hybrid Systems with Mode‐Dependent Time‐Varying Delay

Ming Zhao, Yueying Wang, Pingfang Zhou and Dengping Duan

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper provides a delay‐dependent criterion for a class of singular stochastic hybrid systems with mode‐dependent time‐varying delay. In order to reduce conservatism, a new Lyapunov‐Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals. Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse‐free, and mean‐square exponentially stable. Numerical examples are presented to illustrate the effectiveness of proposed method.

Date: 2014
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https://doi.org/10.1155/2014/409819

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:409819

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