Delay-Dependent Exponential Synchronization Criteria for Chaotic Neural Networks with Time-Varying Delays
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedade Brasileira de Física
2012
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| _version_ | 1876466904977113088 |
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| author | S. Jeeva Sathya Theesar |
| author_facet | S. Jeeva Sathya Theesar |
| contents | Delay-Dependent Exponential Synchronization Criteria for Chaotic Neural Networks with Time-Varying Delays S. Jeeva Sathya Theesar R. Chandran P. Balasubramaniam Física, Astronomía y Matemáticas Time varying delay Delay decomposition Delayed neural networks Exponential synchronization The problem of exponentially synchronizingclass of delayed neural networks is studied. Both constant and time-varying delays are considered, to obtain the delay-dependent state feedback synchronization gain matrix. By means of the method of Lyapunov- Krasovskii functional, combined with linear matrix inequalities, exponential synchronization of the master- slave structure of neural networks is achieved. The delay interval is decomposed into multiple nonequidistant subintervals, on which Lyapunov-Krasovskii functionals are constructed. On the basis of these functionals, a new exponential synchronization condition, one that is time-delay dependent, is proposed in terms of linear matrix inequalities. A numerical example showing the effectiveness of the proposed method is presented. 2012 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46423465006 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3-4 Vol.42 |
| format | Artículo científico |
| id | redalyc_46423465006 |
| institution | Redalyc |
| language | en |
| publishDate | 2012 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Delay-Dependent Exponential Synchronization Criteria for Chaotic Neural Networks with Time-Varying Delays S. Jeeva Sathya Theesar Física, Astronomía y Matemáticas Time varying delay Delay decomposition Delayed neural networks Exponential synchronization Delay-Dependent Exponential Synchronization Criteria for Chaotic Neural Networks with Time-Varying Delays S. Jeeva Sathya Theesar R. Chandran P. Balasubramaniam Física, Astronomía y Matemáticas Time varying delay Delay decomposition Delayed neural networks Exponential synchronization The problem of exponentially synchronizingclass of delayed neural networks is studied. Both constant and time-varying delays are considered, to obtain the delay-dependent state feedback synchronization gain matrix. By means of the method of Lyapunov- Krasovskii functional, combined with linear matrix inequalities, exponential synchronization of the master- slave structure of neural networks is achieved. The delay interval is decomposed into multiple nonequidistant subintervals, on which Lyapunov-Krasovskii functionals are constructed. On the basis of these functionals, a new exponential synchronization condition, one that is time-delay dependent, is proposed in terms of linear matrix inequalities. A numerical example showing the effectiveness of the proposed method is presented. 2012 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46423465006 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.3-4 Vol.42 |
| title | Delay-Dependent Exponential Synchronization Criteria for Chaotic Neural Networks with Time-Varying Delays |
| topic | Física, Astronomía y Matemáticas Time varying delay Delay decomposition Delayed neural networks Exponential synchronization |
| url | https://www.redalyc.org/articulo.oa?id=46423465006 |