Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology
This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/818242 |
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| _version_ | 1850213394535153664 |
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| author | Bo Liu Xiaoling Wang Yanping Gao Guangming Xie Housheng Su |
| author_facet | Bo Liu Xiaoling Wang Yanping Gao Guangming Xie Housheng Su |
| author_sort | Bo Liu |
| collection | DOAJ |
| description | This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is informed by the synchronous state via introducing decentralized adaptive strategies to the coupling strengths and feedback gains. Finally, some numerical simulations are worked out to illustrate the analytical results. |
| format | Article |
| id | doaj-art-841425a744674ebebdbe6637e7cc0b4d |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-841425a744674ebebdbe6637e7cc0b4d2025-08-20T02:09:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/818242818242Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching TopologyBo Liu0Xiaoling Wang1Yanping Gao2Guangming Xie3Housheng Su4College of Science, North China University of Technology, Beijing 100144, ChinaDepartment of Automation, Shanghai Jiao Tong University, Shanghai 200240, ChinaCollege of Computer and Information Engineering, Beijing Technology and Business University, Beijing 100048, ChinaDepartment of Industrial Engineering and Management, College of Engineering, Peking University, Beijing 100871, ChinaDepartment of Control Science and Engineering, Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the synchronous state, even though only one node is informed by the synchronous state via introducing decentralized adaptive strategies to the coupling strengths and feedback gains. Finally, some numerical simulations are worked out to illustrate the analytical results.http://dx.doi.org/10.1155/2013/818242 |
| spellingShingle | Bo Liu Xiaoling Wang Yanping Gao Guangming Xie Housheng Su Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology Journal of Applied Mathematics |
| title | Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology |
| title_full | Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology |
| title_fullStr | Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology |
| title_full_unstemmed | Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology |
| title_short | Adaptive Synchronization of Complex Dynamical Networks Governed by Local Lipschitz Nonlinearlity on Switching Topology |
| title_sort | adaptive synchronization of complex dynamical networks governed by local lipschitz nonlinearlity on switching topology |
| url | http://dx.doi.org/10.1155/2013/818242 |
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