Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion
Constructing a new Lyapunov functional and employing inequality technique, the existence, uniqueness, and global exponential stability of the periodic oscillatory solution are investigated for a class of fuzzy bidirectional associative memory (BAM) neural networks with distributed delays and diffusi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/136048 |
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| _version_ | 1832550343748091904 |
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| author | Qianhong Zhang Lihui Yang Jingzhong Liu |
| author_facet | Qianhong Zhang Lihui Yang Jingzhong Liu |
| author_sort | Qianhong Zhang |
| collection | DOAJ |
| description | Constructing a new Lyapunov functional and employing inequality technique, the existence, uniqueness, and global exponential stability of the periodic oscillatory solution are investigated for a class of fuzzy bidirectional associative memory (BAM) neural networks with distributed delays and diffusion. We obtained some sufficient conditions ensuring the existence, uniqueness, and global exponential stability of the periodic solution. The results remove the usual assumption that the activation functions are differentiable. An example is provided to show the effectiveness of our results. |
| format | Article |
| id | doaj-art-30836ece09c14a259f8509d86417e056 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-30836ece09c14a259f8509d86417e0562025-02-03T06:06:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/136048136048Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and DiffusionQianhong Zhang0Lihui Yang1Jingzhong Liu2Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, ChinaDepartment of Mathematics, Hunan City University, Yiyang, Hunan 413000, ChinaDepartment of Computer and Information Science, Hunan Institute of Technology, Hengyang, Hunan 421002, ChinaConstructing a new Lyapunov functional and employing inequality technique, the existence, uniqueness, and global exponential stability of the periodic oscillatory solution are investigated for a class of fuzzy bidirectional associative memory (BAM) neural networks with distributed delays and diffusion. We obtained some sufficient conditions ensuring the existence, uniqueness, and global exponential stability of the periodic solution. The results remove the usual assumption that the activation functions are differentiable. An example is provided to show the effectiveness of our results.http://dx.doi.org/10.1155/2012/136048 |
| spellingShingle | Qianhong Zhang Lihui Yang Jingzhong Liu Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion Journal of Applied Mathematics |
| title | Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion |
| title_full | Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion |
| title_fullStr | Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion |
| title_full_unstemmed | Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion |
| title_short | Dynamics of Fuzzy BAM Neural Networks with Distributed Delays and Diffusion |
| title_sort | dynamics of fuzzy bam neural networks with distributed delays and diffusion |
| url | http://dx.doi.org/10.1155/2012/136048 |
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