Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays
This paper is concerned with pth moment exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. With the help of Lyapunov method, stochastic analysis, and inequality techniques, a set of new suffcient conditions on pth moment exponential stabi...
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Format: | Article |
Language: | English |
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Wiley
2009-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2009/439173 |
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author | Chuangxia Huang Xinsong Yang Yigang He |
author_facet | Chuangxia Huang Xinsong Yang Yigang He |
author_sort | Chuangxia Huang |
collection | DOAJ |
description | This paper is concerned with pth moment exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. With the help of Lyapunov method, stochastic analysis, and inequality techniques, a set of new suffcient conditions on pth moment exponential stability for the considered system is presented. The proposed results generalized and improved some earlier publications. |
format | Article |
id | doaj-art-5388848a991e4ee0ba02f698ad2da747 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2009-01-01 |
publisher | Wiley |
record_format | Article |
series | Discrete Dynamics in Nature and Society |
spelling | doaj-art-5388848a991e4ee0ba02f698ad2da7472025-02-03T01:27:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/439173439173Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying DelaysChuangxia Huang0Xinsong Yang1Yigang He2College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, ChinaDepartment of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha, Hunan 410082, ChinaThis paper is concerned with pth moment exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays. With the help of Lyapunov method, stochastic analysis, and inequality techniques, a set of new suffcient conditions on pth moment exponential stability for the considered system is presented. The proposed results generalized and improved some earlier publications.http://dx.doi.org/10.1155/2009/439173 |
spellingShingle | Chuangxia Huang Xinsong Yang Yigang He Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays Discrete Dynamics in Nature and Society |
title | Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays |
title_full | Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays |
title_fullStr | Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays |
title_full_unstemmed | Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays |
title_short | Stability Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Time-Varying Delays |
title_sort | stability analysis of stochastic reaction diffusion cohen grossberg neural networks with time varying delays |
url | http://dx.doi.org/10.1155/2009/439173 |
work_keys_str_mv | AT chuangxiahuang stabilityanalysisofstochasticreactiondiffusioncohengrossbergneuralnetworkswithtimevaryingdelays AT xinsongyang stabilityanalysisofstochasticreactiondiffusioncohengrossbergneuralnetworkswithtimevaryingdelays AT yiganghe stabilityanalysisofstochasticreactiondiffusioncohengrossbergneuralnetworkswithtimevaryingdelays |