Stabilization of a Class of Stochastic Systems with Time Delays

The problem of exponential stability is investigated for a class of stochastic time-delay systems. By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived. Finally, a numerical example is given to illustrate the effectiveness and th...

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Main Authors: Jian Wang, Cuixia Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/274681
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author Jian Wang
Cuixia Li
author_facet Jian Wang
Cuixia Li
author_sort Jian Wang
collection DOAJ
description The problem of exponential stability is investigated for a class of stochastic time-delay systems. By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived. Finally, a numerical example is given to illustrate the effectiveness and the benefit of the proposed method.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-a8f0561859fc43cc868089d0a5f2efcf2025-02-03T05:46:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/274681274681Stabilization of a Class of Stochastic Systems with Time DelaysJian Wang0Cuixia Li1School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455002, ChinaSchool of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455002, ChinaThe problem of exponential stability is investigated for a class of stochastic time-delay systems. By using the decomposition technique and Lyapunov stability theory, two improved exponential stability criteria are derived. Finally, a numerical example is given to illustrate the effectiveness and the benefit of the proposed method.http://dx.doi.org/10.1155/2014/274681
spellingShingle Jian Wang
Cuixia Li
Stabilization of a Class of Stochastic Systems with Time Delays
Journal of Applied Mathematics
title Stabilization of a Class of Stochastic Systems with Time Delays
title_full Stabilization of a Class of Stochastic Systems with Time Delays
title_fullStr Stabilization of a Class of Stochastic Systems with Time Delays
title_full_unstemmed Stabilization of a Class of Stochastic Systems with Time Delays
title_short Stabilization of a Class of Stochastic Systems with Time Delays
title_sort stabilization of a class of stochastic systems with time delays
url http://dx.doi.org/10.1155/2014/274681
work_keys_str_mv AT jianwang stabilizationofaclassofstochasticsystemswithtimedelays
AT cuixiali stabilizationofaclassofstochasticsystemswithtimedelays