Finite-time \(H_\infty\) control for time-delayed stochastic systems with Markovian switching (Q1725035)
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scientific article; zbMATH DE number 7023118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-time \(H_\infty\) control for time-delayed stochastic systems with Markovian switching |
scientific article; zbMATH DE number 7023118 |
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Finite-time \(H_\infty\) control for time-delayed stochastic systems with Markovian switching (English)
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14 February 2019
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Summary: This paper studies the problem of finite-time \(H_\infty\) control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite-time stability for time-delayed stochastic systems with Markovian switching are proposed. Based on constructing new Lyapunov-Krasovskii functional, the mode-dependent state feedback controller for the finite-time \(H_\infty\) control is obtained. Simulation results illustrate the effectiveness of the proposed method.
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finite-time \(H_\infty\) control
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time-delayed stochastic systems
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Markovian switching
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finite-time stability
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