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

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  • Ming Zhao
  • Yueying Wang
  • Pingfang Zhou
  • Dengping Duan

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.

Suggested Citation

  • Ming Zhao & Yueying Wang & Pingfang Zhou & Dengping Duan, 2014. "Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:409819
    DOI: 10.1155/2014/409819
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