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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-6dd6d2213c45419887491b291e51082b |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |