Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays
This paper investigates the complete periodic synchronization of memristor-based neural networks with time-varying delays. Firstly, under the framework of Filippov solutions, by using M-matrix theory and the Mawhin-like coincidence theorem in set-valued analysis, the existence of the periodic soluti...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/140153 |
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| _version_ | 1832564115686555648 |
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| author | Huaiqin Wu Luying Zhang Sanbo Ding Xueqing Guo Lingling Wang |
| author_facet | Huaiqin Wu Luying Zhang Sanbo Ding Xueqing Guo Lingling Wang |
| author_sort | Huaiqin Wu |
| collection | DOAJ |
| description | This paper investigates the complete periodic synchronization of memristor-based neural networks with time-varying delays. Firstly, under the framework of Filippov solutions, by using M-matrix theory and the Mawhin-like coincidence theorem in set-valued analysis, the existence of the periodic solution for the network system is proved. Secondly, complete periodic synchronization is considered for memristor-based neural networks. According to the state-dependent switching feature of the memristor, the error system is divided into four cases. Adaptive controller is designed such that the considered model can realize global asymptotical synchronization. Finally, an illustrative example is given to demonstrate the validity of the theoretical results. |
| format | Article |
| id | doaj-art-34925155a24a459bac4ef74be0093a67 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-34925155a24a459bac4ef74be0093a672025-02-03T01:11:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/140153140153Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying DelaysHuaiqin Wu0Luying Zhang1Sanbo Ding2Xueqing Guo3Lingling Wang4Department of Applied Mathematics, Yanshan University, Qinhuangdao 066001, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066001, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066001, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066001, ChinaDepartment of Applied Mathematics, Yanshan University, Qinhuangdao 066001, ChinaThis paper investigates the complete periodic synchronization of memristor-based neural networks with time-varying delays. Firstly, under the framework of Filippov solutions, by using M-matrix theory and the Mawhin-like coincidence theorem in set-valued analysis, the existence of the periodic solution for the network system is proved. Secondly, complete periodic synchronization is considered for memristor-based neural networks. According to the state-dependent switching feature of the memristor, the error system is divided into four cases. Adaptive controller is designed such that the considered model can realize global asymptotical synchronization. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.http://dx.doi.org/10.1155/2013/140153 |
| spellingShingle | Huaiqin Wu Luying Zhang Sanbo Ding Xueqing Guo Lingling Wang Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays |
| title_full | Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays |
| title_fullStr | Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays |
| title_short | Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays |
| title_sort | complete periodic synchronization of memristor based neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2013/140153 |
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