Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems

<p/> <p>This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in te...

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Main Authors: Mei Shengwei, Dong Yali, Liu Jinying
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2011/738285
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spelling doaj-495e5c7aae4e45768d4b558b3b4c75bd2020-11-24T21:30:05ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-0120111738285Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear SystemsMei ShengweiDong YaliLiu Jinying<p/> <p>This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique. Also, the synthesis of stabilization periodically intermittent state feedback controllers is present such that the close-loop system is exponentially stable. A simulation example is given to illustrate the effectiveness of the proposed approach.</p>http://www.journalofinequalitiesandapplications.com/content/2011/738285
collection DOAJ
language English
format Article
sources DOAJ
author Mei Shengwei
Dong Yali
Liu Jinying
spellingShingle Mei Shengwei
Dong Yali
Liu Jinying
Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
Journal of Inequalities and Applications
author_facet Mei Shengwei
Dong Yali
Liu Jinying
author_sort Mei Shengwei
title Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
title_short Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
title_full Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
title_fullStr Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
title_full_unstemmed Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems
title_sort stability analysis and intermittent control synthesis of a class of uncertain nonlinear systems
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2011-01-01
description <p/> <p>This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique. Also, the synthesis of stabilization periodically intermittent state feedback controllers is present such that the close-loop system is exponentially stable. A simulation example is given to illustrate the effectiveness of the proposed approach.</p>
url http://www.journalofinequalitiesandapplications.com/content/2011/738285
work_keys_str_mv AT meishengwei stabilityanalysisandintermittentcontrolsynthesisofaclassofuncertainnonlinearsystems
AT dongyali stabilityanalysisandintermittentcontrolsynthesisofaclassofuncertainnonlinearsystems
AT liujinying stabilityanalysisandintermittentcontrolsynthesisofaclassofuncertainnonlinearsystems
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