Generalized Mutual Synchronization between Two Controlled Interdependent Networks
This paper mainly focuses on the generalized mutual synchronization between two controlled interdependent networks. First, we propose the general model of controlled interdependent networks A and B with time-varying internetwork delays coupling. Then, by constructing Lyapunov functions and utilizing...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/453149 |
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| _version_ | 1850227932717383680 |
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| author | Quan Xu Shengxian Zhuang Dan Hu Yingfeng Zeng Jian Xiao |
| author_facet | Quan Xu Shengxian Zhuang Dan Hu Yingfeng Zeng Jian Xiao |
| author_sort | Quan Xu |
| collection | DOAJ |
| description | This paper mainly focuses on the generalized mutual synchronization between two controlled interdependent networks. First, we propose the general model of controlled interdependent networks A and B with time-varying internetwork delays coupling. Then, by constructing Lyapunov functions and utilizing adaptive control technique, some sufficient conditions are established to ensure that the mutual synchronization errors between the state variables of networks A and B can asymptotically converge to zero. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results and to explore potential application in future smart grid. The simulation results also show how interdependent topologies and internetwork coupling delays influence the mutual synchronizability, which help to design interdependent networks with optimal mutual synchronizability. |
| format | Article |
| id | doaj-art-243a07b670154416a3f5cd15ed0846fe |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-243a07b670154416a3f5cd15ed0846fe2025-08-20T02:04:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/453149453149Generalized Mutual Synchronization between Two Controlled Interdependent NetworksQuan Xu0Shengxian Zhuang1Dan Hu2Yingfeng Zeng3Jian Xiao4Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaKey Laboratory of Magnetic Suspension Technology and Maglev Vehicle, School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mechanical Engineering and Automation, Xihua University, Chengdu 610039, ChinaKey Laboratory of Magnetic Suspension Technology and Maglev Vehicle, School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaKey Laboratory of Magnetic Suspension Technology and Maglev Vehicle, School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaThis paper mainly focuses on the generalized mutual synchronization between two controlled interdependent networks. First, we propose the general model of controlled interdependent networks A and B with time-varying internetwork delays coupling. Then, by constructing Lyapunov functions and utilizing adaptive control technique, some sufficient conditions are established to ensure that the mutual synchronization errors between the state variables of networks A and B can asymptotically converge to zero. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results and to explore potential application in future smart grid. The simulation results also show how interdependent topologies and internetwork coupling delays influence the mutual synchronizability, which help to design interdependent networks with optimal mutual synchronizability.http://dx.doi.org/10.1155/2014/453149 |
| spellingShingle | Quan Xu Shengxian Zhuang Dan Hu Yingfeng Zeng Jian Xiao Generalized Mutual Synchronization between Two Controlled Interdependent Networks Abstract and Applied Analysis |
| title | Generalized Mutual Synchronization between Two Controlled Interdependent Networks |
| title_full | Generalized Mutual Synchronization between Two Controlled Interdependent Networks |
| title_fullStr | Generalized Mutual Synchronization between Two Controlled Interdependent Networks |
| title_full_unstemmed | Generalized Mutual Synchronization between Two Controlled Interdependent Networks |
| title_short | Generalized Mutual Synchronization between Two Controlled Interdependent Networks |
| title_sort | generalized mutual synchronization between two controlled interdependent networks |
| url | http://dx.doi.org/10.1155/2014/453149 |
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