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Cluster synchronization of uncertain complex networks with desynchronizing impulse |
| Cai Guo-Liang (蔡国梁), Jiang Sheng-Qin (姜胜芹), Cai Shui-Ming (蔡水明), Tian Li-Xin (田立新) |
| Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China |
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Abstract Cluster synchronization of nonlinear uncertain complex networks with desynchronizing impulse is explored. First of all, a feedback controller is employed, based on the Lyapunov stability theorem and Lipschitz condition, to guarantee that the uncertain complex networks with desynchronizing impulse synchronize with an object trajectory. Furthermore, a synchronizing impulse controller is presented, which is more efficiently and directly used to achieve the cluster synchronization. Finally, numerical examples are examined to show the effectiveness of the proposed methods.
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Received: 18 April 2014
Revised: 16 July 2014
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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| Fund: Project supported by the National Natural Science foundation of China (Grant Nos. 51276081 and 11326193) and the Students' Research Foundation of Jiangsu University, China (Grant Nos. Y13A127 and 12A415). |
Corresponding Authors:
Jiang Sheng-Qin
E-mail: jiangshengmeng@126.com
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Cite this article:
Cai Guo-Liang (蔡国梁), Jiang Sheng-Qin (姜胜芹), Cai Shui-Ming (蔡水明), Tian Li-Xin (田立新) Cluster synchronization of uncertain complex networks with desynchronizing impulse 2014 Chin. Phys. B 23 120505
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