Stability analysis and robust \(H_\infty\) control of switched stochastic systems with time-varying delay (Q442820)
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scientific article; zbMATH DE number 6063331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis and robust \(H_\infty\) control of switched stochastic systems with time-varying delay |
scientific article; zbMATH DE number 6063331 |
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Stability analysis and robust \(H_\infty\) control of switched stochastic systems with time-varying delay (English)
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6 August 2012
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Summary: The problems of mean-square exponential stability and robust \(H_\infty\) 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, \(H_\infty\) performance is studied and robust \(H_\infty\) controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.
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exponential stability
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switched stochastic systems with time-varying delay
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robust \(H_\infty\) control
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0.96262807
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