Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays
This paper investigates dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. By employing the theory of stochastic functional differential equat...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/384981 |
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| _version_ | 1832563178274291712 |
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| author | Li Wan Qinghua Zhou Zhigang Zhou Pei Wang |
| author_facet | Li Wan Qinghua Zhou Zhigang Zhou Pei Wang |
| author_sort | Li Wan |
| collection | DOAJ |
| description | This paper investigates dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. By employing the theory of stochastic functional differential equations and linear matrix inequality (LMI) approach, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-c8032f49ce0a43d6b9109f527cb831b5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c8032f49ce0a43d6b9109f527cb831b52025-02-03T01:20:54ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/384981384981Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time DelaysLi Wan0Qinghua Zhou1Zhigang Zhou2Pei Wang3School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, ChinaDepartment of Mathematics, Zhaoqing University, Zhaoqing 526061, ChinaSchool of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, ChinaSchool of Mathematics and Information Sciences, Henan University, Kaifeng 475004, ChinaThis paper investigates dynamical behaviors of the stochastic Hopfield neural networks with mixed time delays. The mixed time delays under consideration comprise both the discrete time-varying delays and the distributed time-delays. By employing the theory of stochastic functional differential equations and linear matrix inequality (LMI) approach, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.http://dx.doi.org/10.1155/2013/384981 |
| spellingShingle | Li Wan Qinghua Zhou Zhigang Zhou Pei Wang Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays Abstract and Applied Analysis |
| title | Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays |
| title_full | Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays |
| title_fullStr | Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays |
| title_full_unstemmed | Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays |
| title_short | Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays |
| title_sort | dynamical behaviors of the stochastic hopfield neural networks with mixed time delays |
| url | http://dx.doi.org/10.1155/2013/384981 |
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