A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays

This paper deals with the stability of switched systems with time-varying delay. The time-varying system parameters are assumed to be norm-bounded. Based on a novel switched time-varying Lyapunov functional method, some new LMI-based sufficient conditions have been obtained to ensure the exponential...

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Main Authors: Ganji Huang, Shixian Luo, Linna Wei, Wuhua Chen
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2015/745175
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author Ganji Huang
Shixian Luo
Linna Wei
Wuhua Chen
author_facet Ganji Huang
Shixian Luo
Linna Wei
Wuhua Chen
author_sort Ganji Huang
collection DOAJ
description This paper deals with the stability of switched systems with time-varying delay. The time-varying system parameters are assumed to be norm-bounded. Based on a novel switched time-varying Lyapunov functional method, some new LMI-based sufficient conditions have been obtained to ensure the exponential stability for the uncertain switched delays systems. Finally, the proposed method is applied to a numerical example and the simulative results are also given.
format Article
id doaj-art-65bdaf14c54e4dfcb5bba71ef29f9a84
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-65bdaf14c54e4dfcb5bba71ef29f9a842025-02-03T05:58:10ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/745175745175A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying DelaysGanji Huang0Shixian Luo1Linna Wei2Wuhua Chen3School of Mathematics, South China University of Technology, Guangzhou, Guangdong 510641, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaSchool of Mathematics, South China University of Technology, Guangzhou, Guangdong 510641, ChinaCollege of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaThis paper deals with the stability of switched systems with time-varying delay. The time-varying system parameters are assumed to be norm-bounded. Based on a novel switched time-varying Lyapunov functional method, some new LMI-based sufficient conditions have been obtained to ensure the exponential stability for the uncertain switched delays systems. Finally, the proposed method is applied to a numerical example and the simulative results are also given.http://dx.doi.org/10.1155/2015/745175
spellingShingle Ganji Huang
Shixian Luo
Linna Wei
Wuhua Chen
A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays
Journal of Control Science and Engineering
title A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays
title_full A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays
title_fullStr A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays
title_full_unstemmed A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays
title_short A Novel Stability Analysis of Uncertain Switched Systems with Time-Varying Delays
title_sort novel stability analysis of uncertain switched systems with time varying delays
url http://dx.doi.org/10.1155/2015/745175
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