Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks
We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays. With the help of stochastic analysis technology, the Lyapunov-Krasovskii functional method, linear matrix inequalities techniq...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4958217 |
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| _version_ | 1849307550857560064 |
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| author | Chuangxia Huang Jie Cao Peng Wang |
| author_facet | Chuangxia Huang Jie Cao Peng Wang |
| author_sort | Chuangxia Huang |
| collection | DOAJ |
| description | We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays. With the help of stochastic analysis technology, the Lyapunov-Krasovskii functional method, linear matrix inequalities technique (LMI), and the average dwell time approach (ADT), some novel sufficient conditions regarding the issues of mean-square uniformly ultimate boundedness, the existence of a stochastic attractor, and the mean-square exponential stability for the switched Cohen-Grossberg neural networks are established. Finally, illustrative examples and their simulations are provided to illustrate the effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-1e66d0ee98554d2c9d955b26917e2d87 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1e66d0ee98554d2c9d955b26917e2d872025-08-20T03:54:43ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/49582174958217Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural NetworksChuangxia Huang0Jie Cao1Peng Wang2School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaSchool of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaSchool of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaWe address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays. With the help of stochastic analysis technology, the Lyapunov-Krasovskii functional method, linear matrix inequalities technique (LMI), and the average dwell time approach (ADT), some novel sufficient conditions regarding the issues of mean-square uniformly ultimate boundedness, the existence of a stochastic attractor, and the mean-square exponential stability for the switched Cohen-Grossberg neural networks are established. Finally, illustrative examples and their simulations are provided to illustrate the effectiveness of the proposed results.http://dx.doi.org/10.1155/2016/4958217 |
| spellingShingle | Chuangxia Huang Jie Cao Peng Wang Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks Discrete Dynamics in Nature and Society |
| title | Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks |
| title_full | Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks |
| title_fullStr | Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks |
| title_full_unstemmed | Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks |
| title_short | Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks |
| title_sort | attractor and boundedness of switched stochastic cohen grossberg neural networks |
| url | http://dx.doi.org/10.1155/2016/4958217 |
| work_keys_str_mv | AT chuangxiahuang attractorandboundednessofswitchedstochasticcohengrossbergneuralnetworks AT jiecao attractorandboundednessofswitchedstochasticcohengrossbergneuralnetworks AT pengwang attractorandboundednessofswitchedstochasticcohengrossbergneuralnetworks |