Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
This paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0≤σ<1 which covers both discontinuous and continuous controllers. Then, we investigate a nonauto...
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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/10.1155/2018/6164786 |
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| _version_ | 1832549413612945408 |
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| author | Chao Yang Lihong Huang Fangmin Li |
| author_facet | Chao Yang Lihong Huang Fangmin Li |
| author_sort | Chao Yang |
| collection | DOAJ |
| description | This paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0≤σ<1 which covers both discontinuous and continuous controllers. Then, we investigate a nonautonomous cellular neural network system and autonomous neural network with linear coupling, respectively. By choosing a time-dependent Lyapunov-Krasovskii functional candidate and suitable controllers, some criteria are studied to guarantee the exponential synchronization of the complex delayed dynamical network. Finally, two numerical examples are given to illustrate our theoretical analysis. |
| format | Article |
| id | doaj-art-f21cf10ee13e45f28692c8d832261a3b |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f21cf10ee13e45f28692c8d832261a3b2025-02-03T06:11:28ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/61647866164786Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled NetworksChao Yang0Lihong Huang1Fangmin Li2Department of Mathematics and Computer Science, Changsha University, Changsha 410022, ChinaSchool of Mathematical and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaDepartment of Mathematics and Computer Science, Changsha University, Changsha 410022, ChinaThis paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0≤σ<1 which covers both discontinuous and continuous controllers. Then, we investigate a nonautonomous cellular neural network system and autonomous neural network with linear coupling, respectively. By choosing a time-dependent Lyapunov-Krasovskii functional candidate and suitable controllers, some criteria are studied to guarantee the exponential synchronization of the complex delayed dynamical network. Finally, two numerical examples are given to illustrate our theoretical analysis.http://dx.doi.org/10.1155/2018/6164786 |
| spellingShingle | Chao Yang Lihong Huang Fangmin Li Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks Complexity |
| title | Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks |
| title_full | Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks |
| title_fullStr | Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks |
| title_full_unstemmed | Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks |
| title_short | Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks |
| title_sort | exponential synchronization control of discontinuous nonautonomous networks and autonomous coupled networks |
| url | http://dx.doi.org/10.1155/2018/6164786 |
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