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Stability Analysis and Robust Control of Switched Stochastic Systems with Time-Varying Delay

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  • Zhengrong Xiang
  • Guoxin Chen

Abstract

The problems of mean-square exponential stability and robust control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (LMIs). Then, performance is studied and robust controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.

Suggested Citation

  • Zhengrong Xiang & Guoxin Chen, 2012. "Stability Analysis and Robust Control of Switched Stochastic Systems with Time-Varying Delay," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, May.
    • Handle: RePEc:hin:jnljam:202916
    DOI: 10.1155/2012/202916
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    Cited by:

    1. Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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