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

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

The problems of mean-square exponential stability and robust H∞ 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 d...

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Main Authors: Zhengrong Xiang, Guoxin Chen
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/202916
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spelling doaj-6917138935044fb19ccda13caba166362020-11-24T22:31:17ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/202916202916Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying DelayZhengrong Xiang0Guoxin Chen1School of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaThe problems of mean-square exponential stability and robust H∞ 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∞ performance is studied and robust H∞ controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2012/202916
collection DOAJ
language English
format Article
sources DOAJ
author Zhengrong Xiang
Guoxin Chen
spellingShingle Zhengrong Xiang
Guoxin Chen
Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
Journal of Applied Mathematics
author_facet Zhengrong Xiang
Guoxin Chen
author_sort Zhengrong Xiang
title Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
title_short Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
title_full Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
title_fullStr Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
title_full_unstemmed Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
title_sort stability analysis and robust h∞ control of switched stochastic systems with time-varying delay
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description The problems of mean-square exponential stability and robust H∞ 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∞ performance is studied and robust H∞ controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.
url http://dx.doi.org/10.1155/2012/202916
work_keys_str_mv AT zhengrongxiang stabilityanalysisandrobusthcontrolofswitchedstochasticsystemswithtimevaryingdelay
AT guoxinchen stabilityanalysisandrobusthcontrolofswitchedstochasticsystemswithtimevaryingdelay
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