Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays
This paper focuses on the finite-time synchronization analysis for complex-valued recurrent neural networks with time delays. First, two kinds of common activation functions appearing in the existing references are combined together and more general assumptions are given. To achieve our aim, a nonli...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8456737 |
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| _version_ | 1832561307298037760 |
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| author | Ziye Zhang Xiaoping Liu Chong Lin Bing Chen |
| author_facet | Ziye Zhang Xiaoping Liu Chong Lin Bing Chen |
| author_sort | Ziye Zhang |
| collection | DOAJ |
| description | This paper focuses on the finite-time synchronization analysis for complex-valued recurrent neural networks with time delays. First, two kinds of common activation functions appearing in the existing references are combined together and more general assumptions are given. To achieve our aim, a nonlinear delayed controller with two independent parameters different from the existing ones is provided, which leads to great difficulty. To overcome it, a newly developed inequality is used. Then, via Lyapunov function approach, some criteria are derived to guarantee the finite-time synchronization of the considered system, and the settling time for synchronization is also estimated. Finally, two numerical simulations are given to support the effectiveness and advantages of the obtained results. |
| format | Article |
| id | doaj-art-a31831a4181e44969833aebfb322f167 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a31831a4181e44969833aebfb322f1672025-02-03T01:25:20ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/84567378456737Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time DelaysZiye Zhang0Xiaoping Liu1Chong Lin2Bing Chen3College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Electrical Engineering, Lakehead University, Thunder Bay, ON P7B 5E1, CanadaInstitute of Complexity Science, Qingdao University, Qingdao 266071, ChinaInstitute of Complexity Science, Qingdao University, Qingdao 266071, ChinaThis paper focuses on the finite-time synchronization analysis for complex-valued recurrent neural networks with time delays. First, two kinds of common activation functions appearing in the existing references are combined together and more general assumptions are given. To achieve our aim, a nonlinear delayed controller with two independent parameters different from the existing ones is provided, which leads to great difficulty. To overcome it, a newly developed inequality is used. Then, via Lyapunov function approach, some criteria are derived to guarantee the finite-time synchronization of the considered system, and the settling time for synchronization is also estimated. Finally, two numerical simulations are given to support the effectiveness and advantages of the obtained results.http://dx.doi.org/10.1155/2018/8456737 |
| spellingShingle | Ziye Zhang Xiaoping Liu Chong Lin Bing Chen Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays Complexity |
| title | Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays |
| title_full | Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays |
| title_fullStr | Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays |
| title_full_unstemmed | Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays |
| title_short | Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays |
| title_sort | finite time synchronization for complex valued recurrent neural networks with time delays |
| url | http://dx.doi.org/10.1155/2018/8456737 |
| work_keys_str_mv | AT ziyezhang finitetimesynchronizationforcomplexvaluedrecurrentneuralnetworkswithtimedelays AT xiaopingliu finitetimesynchronizationforcomplexvaluedrecurrentneuralnetworkswithtimedelays AT chonglin finitetimesynchronizationforcomplexvaluedrecurrentneuralnetworkswithtimedelays AT bingchen finitetimesynchronizationforcomplexvaluedrecurrentneuralnetworkswithtimedelays |