Synchronization of Chaotic Delayed Neural Networks via Impulsive Control
This paper is concerned with the impulsive synchronization problem of chaotic delayed neural networks. By employing Lyapunov stability theorem, impulsive control theory and linear matrix inequality (LMI) technique, several new sufficient conditions ensuring the asymptotically synchronization for cou...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/305264 |
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| _version_ | 1832554786592915456 |
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| author | Yang Fang Kang Yan Kelin Li |
| author_facet | Yang Fang Kang Yan Kelin Li |
| author_sort | Yang Fang |
| collection | DOAJ |
| description | This paper is concerned with the impulsive synchronization problem of chaotic delayed neural networks. By employing Lyapunov stability theorem, impulsive control theory and linear matrix inequality (LMI) technique, several new sufficient conditions ensuring the asymptotically synchronization for coupled chaotic delayed neural networks are derived. Based on these new sufficient conditions, an impulsive controller is designed. Moreover, the stable impulsive interval of synchronized neural networks is objectively estimated by combining the MATLAB LMI toolbox and one of the two given equations. Two examples with numerical simulations are given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-6d6cbcf65da6446093426f523fc2f2a0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6d6cbcf65da6446093426f523fc2f2a02025-02-03T05:50:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/305264305264Synchronization of Chaotic Delayed Neural Networks via Impulsive ControlYang Fang0Kang Yan1Kelin Li2School of Automation and Electronic Information, Sichuan University of Science & Engineering, Sichuan 643000, ChinaSchool of Automation and Electronic Information, Sichuan University of Science & Engineering, Sichuan 643000, ChinaInstitute of Nonlinear Science and Engineering Computing, Sichuan University of Science & Engineering, Sichuan 643000, ChinaThis paper is concerned with the impulsive synchronization problem of chaotic delayed neural networks. By employing Lyapunov stability theorem, impulsive control theory and linear matrix inequality (LMI) technique, several new sufficient conditions ensuring the asymptotically synchronization for coupled chaotic delayed neural networks are derived. Based on these new sufficient conditions, an impulsive controller is designed. Moreover, the stable impulsive interval of synchronized neural networks is objectively estimated by combining the MATLAB LMI toolbox and one of the two given equations. Two examples with numerical simulations are given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/305264 |
| spellingShingle | Yang Fang Kang Yan Kelin Li Synchronization of Chaotic Delayed Neural Networks via Impulsive Control Journal of Applied Mathematics |
| title | Synchronization of Chaotic Delayed Neural Networks via Impulsive Control |
| title_full | Synchronization of Chaotic Delayed Neural Networks via Impulsive Control |
| title_fullStr | Synchronization of Chaotic Delayed Neural Networks via Impulsive Control |
| title_full_unstemmed | Synchronization of Chaotic Delayed Neural Networks via Impulsive Control |
| title_short | Synchronization of Chaotic Delayed Neural Networks via Impulsive Control |
| title_sort | synchronization of chaotic delayed neural networks via impulsive control |
| url | http://dx.doi.org/10.1155/2014/305264 |
| work_keys_str_mv | AT yangfang synchronizationofchaoticdelayedneuralnetworksviaimpulsivecontrol AT kangyan synchronizationofchaoticdelayedneuralnetworksviaimpulsivecontrol AT kelinli synchronizationofchaoticdelayedneuralnetworksviaimpulsivecontrol |