Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching
This paper studies the problem of finite-time H∞ 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 sys...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/809290 |
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| _version_ | 1832566172214624256 |
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| author | Wenhua Gao Feiqi Deng Ruiqiu Zhang Wenhui Liu |
| author_facet | Wenhua Gao Feiqi Deng Ruiqiu Zhang Wenhui Liu |
| author_sort | Wenhua Gao |
| collection | DOAJ |
| description | This paper studies the problem of finite-time H∞ 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∞ control is obtained. Simulation results illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-f36e2ceb89dd42478eace49ff9bda29d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f36e2ceb89dd42478eace49ff9bda29d2025-02-03T01:04:56ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/809290809290Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian SwitchingWenhua Gao0Feiqi Deng1Ruiqiu Zhang2Wenhui Liu3Department of Mathematics, School of Science, South China University of Technology, Wushan Road, Tianhe, Guangzhou 510641, ChinaSystems Engineering Institute, South China University of Technology, Guangzhou, ChinaSchool of Design, South China University of Technology, Guangzhou, ChinaSystems Engineering Institute, South China University of Technology, Guangzhou, ChinaThis paper studies the problem of finite-time H∞ 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∞ control is obtained. Simulation results illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/809290 |
| spellingShingle | Wenhua Gao Feiqi Deng Ruiqiu Zhang Wenhui Liu Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching Abstract and Applied Analysis |
| title | Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching |
| title_full | Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching |
| title_fullStr | Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching |
| title_full_unstemmed | Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching |
| title_short | Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching |
| title_sort | finite time h∞ control for time delayed stochastic systems with markovian switching |
| url | http://dx.doi.org/10.1155/2014/809290 |
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