On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays

We study the exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays. By using a new technique developed for positive systems, we design the average dwell time switching under which the switched nonlinear system is exponentially stable for any bounded del...

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Main Authors: Jie Qi, Yuangong Sun
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/427893
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author Jie Qi
Yuangong Sun
author_facet Jie Qi
Yuangong Sun
author_sort Jie Qi
collection DOAJ
description We study the exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays. By using a new technique developed for positive systems, we design the average dwell time switching under which the switched nonlinear system is exponentially stable for any bounded delays. Finally, numerical examples are worked out to illustrate the main theoretical result.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2014-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-6dd6d2213c45419887491b291e51082b2025-02-03T01:30:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/427893427893On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying DelaysJie Qi0Yuangong Sun1School of Mathematics, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematics, University of Jinan, Jinan, Shandong 250022, ChinaWe study the exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays. By using a new technique developed for positive systems, we design the average dwell time switching under which the switched nonlinear system is exponentially stable for any bounded delays. Finally, numerical examples are worked out to illustrate the main theoretical result.http://dx.doi.org/10.1155/2014/427893
spellingShingle Jie Qi
Yuangong Sun
On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
Discrete Dynamics in Nature and Society
title On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
title_full On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
title_fullStr On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
title_full_unstemmed On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
title_short On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays
title_sort on exponential stabilizability for a class of switched nonlinear systems with mixed time varying delays
url http://dx.doi.org/10.1155/2014/427893
work_keys_str_mv AT jieqi onexponentialstabilizabilityforaclassofswitchednonlinearsystemswithmixedtimevaryingdelays
AT yuangongsun onexponentialstabilizabilityforaclassofswitchednonlinearsystemswithmixedtimevaryingdelays