Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays

This paper studies the asymptotic stability problem for a class of uncertain impulsive switched systems with discrete and distributed delays. Based on Lyapunov functional theory, delay-dependent sufficient LMI conditions are established for the asymptotic stability of the considered systems. Moreove...

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Main Authors: Binbin Du, Xiaojie Zhang
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/381571
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author Binbin Du
Xiaojie Zhang
author_facet Binbin Du
Xiaojie Zhang
author_sort Binbin Du
collection DOAJ
description This paper studies the asymptotic stability problem for a class of uncertain impulsive switched systems with discrete and distributed delays. Based on Lyapunov functional theory, delay-dependent sufficient LMI conditions are established for the asymptotic stability of the considered systems. Moreover, an appropriate feedback controller is constructed for stabilizing the corresponding closed-loop system. The results are illustrated to be efficient through an example.
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institution OA Journals
issn 1026-0226
1607-887X
language English
publishDate 2011-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-0ef034b3eb774ce8ac04620a77c3be7b2025-08-20T02:02:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/381571381571Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed DelaysBinbin Du0Xiaojie Zhang1Naval Aeronautical Engineering Institute Qingdao Branch, Qingdao 266041, ChinaNaval Aeronautical Engineering Institute Qingdao Branch, Qingdao 266041, ChinaThis paper studies the asymptotic stability problem for a class of uncertain impulsive switched systems with discrete and distributed delays. Based on Lyapunov functional theory, delay-dependent sufficient LMI conditions are established for the asymptotic stability of the considered systems. Moreover, an appropriate feedback controller is constructed for stabilizing the corresponding closed-loop system. The results are illustrated to be efficient through an example.http://dx.doi.org/10.1155/2011/381571
spellingShingle Binbin Du
Xiaojie Zhang
Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays
Discrete Dynamics in Nature and Society
title Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays
title_full Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays
title_fullStr Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays
title_full_unstemmed Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays
title_short Delay-Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays
title_sort delay dependent stability analysis and synthesis for uncertain impulsive switched system with mixed delays
url http://dx.doi.org/10.1155/2011/381571
work_keys_str_mv AT binbindu delaydependentstabilityanalysisandsynthesisforuncertainimpulsiveswitchedsystemwithmixeddelays
AT xiaojiezhang delaydependentstabilityanalysisandsynthesisforuncertainimpulsiveswitchedsystemwithmixeddelays