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

Zhengrong Xiang and Guoxin Chen

Journal of Applied Mathematics, 2012, vol. 2012, 1-17

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:202916

DOI: 10.1155/2012/202916

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