Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays

This paper deals with the problem of robust exponential stability and H∞ performance analysis for a class of uncertain Markovian jumping system with multiple delays. Based on the reciprocally convex approach, some novel delay-dependent stability criteria for the addressed system are derived. At last...

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Main Author: Jianwei Xia
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/738318
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author Jianwei Xia
author_facet Jianwei Xia
author_sort Jianwei Xia
collection DOAJ
description This paper deals with the problem of robust exponential stability and H∞ performance analysis for a class of uncertain Markovian jumping system with multiple delays. Based on the reciprocally convex approach, some novel delay-dependent stability criteria for the addressed system are derived. At last, numerical examples is given presented to show the effectiveness of the proposed results.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c3952577e7cc4efc9b0135a8425704542025-02-03T01:31:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/738318738318Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple DelaysJianwei Xia0School of Mathematics Science, Liaocheng University, Shandong 252000, ChinaThis paper deals with the problem of robust exponential stability and H∞ performance analysis for a class of uncertain Markovian jumping system with multiple delays. Based on the reciprocally convex approach, some novel delay-dependent stability criteria for the addressed system are derived. At last, numerical examples is given presented to show the effectiveness of the proposed results.http://dx.doi.org/10.1155/2014/738318
spellingShingle Jianwei Xia
Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays
Abstract and Applied Analysis
title Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays
title_full Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays
title_fullStr Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays
title_full_unstemmed Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays
title_short Delay-Dependent Robust Exponential Stability and H∞ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays
title_sort delay dependent robust exponential stability and h∞ analysis for a class of uncertain markovian jumping system with multiple delays
url http://dx.doi.org/10.1155/2014/738318
work_keys_str_mv AT jianweixia delaydependentrobustexponentialstabilityandhanalysisforaclassofuncertainmarkovianjumpingsystemwithmultipledelays