Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays
This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations. With the help of Lyapunov function, stochastic analysis technique, and inequality tech...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/513218 |
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| _version_ | 1832564019243778048 |
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| author | Chuangxia Huang Lehua Huang Yigang He |
| author_facet | Chuangxia Huang Lehua Huang Yigang He |
| author_sort | Chuangxia Huang |
| collection | DOAJ |
| description | This paper addresses the issue of mean square
exponential stability of stochastic Cohen-Grossberg neural
networks (SCGNN), whose state variables are described by
stochastic nonlinear integrodifferential equations. With the
help of Lyapunov function, stochastic analysis technique, and
inequality techniques, some novel sufficient conditions on mean
square exponential stability for SCGNN are given. Furthermore,
we also establish some sufficient conditions for checking
exponential stability for Cohen-Grossberg neural networks with
unbounded distributed delays. |
| format | Article |
| id | doaj-art-e32ab3d4ca094ccc9eb7391e382af49d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e32ab3d4ca094ccc9eb7391e382af49d2025-02-03T01:12:00ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/513218513218Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed DelaysChuangxia Huang0Lehua Huang1Yigang He2College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaCollege of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha, Hunan 410082, ChinaThis paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations. With the help of Lyapunov function, stochastic analysis technique, and inequality techniques, some novel sufficient conditions on mean square exponential stability for SCGNN are given. Furthermore, we also establish some sufficient conditions for checking exponential stability for Cohen-Grossberg neural networks with unbounded distributed delays.http://dx.doi.org/10.1155/2010/513218 |
| spellingShingle | Chuangxia Huang Lehua Huang Yigang He Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays Discrete Dynamics in Nature and Society |
| title | Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays |
| title_full | Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays |
| title_fullStr | Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays |
| title_full_unstemmed | Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays |
| title_short | Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays |
| title_sort | mean square exponential stability of stochastic cohen grossberg neural networks with unbounded distributed delays |
| url | http://dx.doi.org/10.1155/2010/513218 |
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