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Chin. Phys. B, 2011, Vol. 20(9): 090513    DOI: 10.1088/1674-1056/20/9/090513
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Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes

Wang Shu-Guo(王树国)a)b) and Yao Hong-Xing(姚洪兴)a)
a Faculty of Science, Jiangsu University, Zhenjiang 212013, China; b Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China
Abstract  In this paper, we investigate the impulsive synchronization between two coupled complex networks with time-delayed dynamical nodes. Based on the Lyapunov stability, the linear feedback control and the impulsive control theories, the linear feedback and the impulsive controllers are designed separately. By using the generalized Barbalat's lemma, the global asymptotic impulsive synchronization of the drive—response complex networks is derived and some corresponding sufficient conditions are also obtained. Numerical examples are presented to verify the effectiveness and the correctness of the synchronization criteria.
Keywords:  complex dynamical networks      impulsive synchronization      time-delayed nodes      generalized Barbalat lemma  
Received:  22 February 2011      Revised:  11 May 2011      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  

Cite this article: 

Wang Shu-Guo(王树国) and Yao Hong-Xing(姚洪兴) Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes 2011 Chin. Phys. B 20 090513

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