Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays

The problem of robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequaliti...

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Main Authors: Zixin Liu, Shu Lü, Shouming Zhong, Mao Ye
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/294845
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author Zixin Liu
Shu Lü
Shouming Zhong
Mao Ye
author_facet Zixin Liu
Shu Lü
Shouming Zhong
Mao Ye
author_sort Zixin Liu
collection DOAJ
description The problem of robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous publications, our results are less conservative. Simulation examples are presented to illustrate the improvement of the main results.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2009-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-b07183e9f5234cbab3ab6342d1a1b5b02025-02-03T01:02:04ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/294845294845Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed DelaysZixin Liu0Shu Lü1Shouming Zhong2Mao Ye3School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu 610054, ChinaSchool of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, ChinaThe problem of robust stability for a class of neutral control systems with mixed delays is investigated. Based on Lyapunov stable theory, by constructing a new Lyapunov-Krasovskii function, some new stable criteria are obtained. These criteria are formulated in the forms of linear matrix inequalities (LMIs). Compared with some previous publications, our results are less conservative. Simulation examples are presented to illustrate the improvement of the main results.http://dx.doi.org/10.1155/2009/294845
spellingShingle Zixin Liu
Shu Lü
Shouming Zhong
Mao Ye
Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays
Abstract and Applied Analysis
title Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays
title_full Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays
title_fullStr Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays
title_full_unstemmed Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays
title_short Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays
title_sort improved robust stability criteria of uncertain neutral systems with mixed delays
url http://dx.doi.org/10.1155/2009/294845
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AT shulu improvedrobuststabilitycriteriaofuncertainneutralsystemswithmixeddelays
AT shoumingzhong improvedrobuststabilitycriteriaofuncertainneutralsystemswithmixeddelays
AT maoye improvedrobuststabilitycriteriaofuncertainneutralsystemswithmixeddelays