Finite-Time H∞ Control for Time-Delayed Stochastic Systems with Markovian Switching

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: Wenhua Gao, Feiqi Deng, Ruiqiu Zhang, Wenhui Liu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/809290
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spelling doaj-f36e2ceb89dd42478eace49ff9bda29d2020-11-24T23:15:29ZengHindawi LimitedAbstract 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
collection DOAJ
language English
format Article
sources DOAJ
author Wenhua Gao
Feiqi Deng
Ruiqiu Zhang
Wenhui Liu
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
author_facet Wenhua Gao
Feiqi Deng
Ruiqiu Zhang
Wenhui Liu
author_sort Wenhua Gao
title 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_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_sort finite-time h∞ control for time-delayed stochastic systems with markovian switching
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/809290
work_keys_str_mv AT wenhuagao finitetimehcontrolfortimedelayedstochasticsystemswithmarkovianswitching
AT feiqideng finitetimehcontrolfortimedelayedstochasticsystemswithmarkovianswitching
AT ruiqiuzhang finitetimehcontrolfortimedelayedstochasticsystemswithmarkovianswitching
AT wenhuiliu finitetimehcontrolfortimedelayedstochasticsystemswithmarkovianswitching
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