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, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:409819

DOI: 10.1155/2014/409819

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