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Chin. Phys. B, 2014, Vol. 23(12): 120505    DOI: 10.1088/1674-1056/23/12/120505
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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
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.
Keywords:  uncertain complex networks      desynchronizing impulse      cluster synchronization  
Received:  18 April 2014      Revised:  16 July 2014      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
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

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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