New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays
This paper is concerned with the global exponential synchronization for an array of hybrid coupled neural networks with time-varying leakage delay, discrete and distributed delays. Applying a novel Lyapunov functional and the property of outer coupling matrices of the neural networks, sufficient con...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2016-01-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13497 |
| _version_ | 1818382651585724416 |
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| author | Yanke Du Rui Xu |
| author_facet | Yanke Du Rui Xu |
| author_sort | Yanke Du |
| collection | DOAJ |
| description | This paper is concerned with the global exponential synchronization for an array of hybrid coupled neural networks with time-varying leakage delay, discrete and distributed delays. Applying a novel Lyapunov functional and the property of outer coupling matrices of the neural networks, sufficient conditions are obtained for the global exponential synchronization of the system. The derived synchronization criteria are closely related with the time-varying delays and the coupling structure of the networks. The maximal allowable upper bounds of the time-varying delays can be obtained guaranteeing the global synchronization for the neural networks. The method we adopt in this paper is different from the commonly used linear matrix inequality (LMI) technique, and our synchronization conditions are new, which are easy to check in comparison with the previously reported LMI-based ones. Some examples are given to show the effectiveness of the obtained theoretical results. |
| first_indexed | 2024-12-14T02:53:52Z |
| format | Article |
| id | doaj.art-a206825ed50f4f73a8923ec0eb19d614 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-14T02:53:52Z |
| publishDate | 2016-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-a206825ed50f4f73a8923ec0eb19d6142022-12-21T23:19:41ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-01-0121110.15388/NA.2016.1.4New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delaysYanke Du0Rui Xu1Shijiazhuang Mechanical Engineering College, ChinaShijiazhuang Mechanical Engineering College, ChinaThis paper is concerned with the global exponential synchronization for an array of hybrid coupled neural networks with time-varying leakage delay, discrete and distributed delays. Applying a novel Lyapunov functional and the property of outer coupling matrices of the neural networks, sufficient conditions are obtained for the global exponential synchronization of the system. The derived synchronization criteria are closely related with the time-varying delays and the coupling structure of the networks. The maximal allowable upper bounds of the time-varying delays can be obtained guaranteeing the global synchronization for the neural networks. The method we adopt in this paper is different from the commonly used linear matrix inequality (LMI) technique, and our synchronization conditions are new, which are easy to check in comparison with the previously reported LMI-based ones. Some examples are given to show the effectiveness of the obtained theoretical results.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13497array of neural networkssynchronizationhybrid couplingtime-varying delays |
| spellingShingle | Yanke Du Rui Xu New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays Nonlinear Analysis array of neural networks synchronization hybrid coupling time-varying delays |
| title | New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays |
| title_full | New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays |
| title_fullStr | New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays |
| title_full_unstemmed | New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays |
| title_short | New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays |
| title_sort | new synchronization criteria for an array of neural networks with hybrid coupling and time varying delays |
| topic | array of neural networks synchronization hybrid coupling time-varying delays |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13497 |
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