Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes

doi:10.1088/1674-1056/20/9/090513

中国物理B ›› 2011, Vol. 20 ›› Issue (9): 90513-090513.doi: 10.1088/1674-1056/20/9/090513

Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes

王树国, 姚洪兴

Faculty of Science, Jiangsu University, Zhenjiang 212013, China

收稿日期:2011-02-22 修回日期:2011-05-11 出版日期:2011-09-15 发布日期:2011-09-15

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

Received:2011-02-22 Revised:2011-05-11 Online:2011-09-15 Published:2011-09-15

摘要/Abstract

摘要： 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.

关键词: complex dynamical networks, impulsive synchronization, time-delayed nodes, generalized Barbalat lemma

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.

Key words: complex dynamical networks, impulsive synchronization, time-delayed nodes, generalized Barbalat lemma

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Gg (Control of chaos, applications of chaos)

王树国, 姚洪兴. Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes[J]. 中国物理B, 2011, 20(9): 90513-090513.

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[J]. Chin. Phys. B, 2011, 20(9): 90513-090513.

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Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes

Impulsive synchronization of two coupled complex networks with time-delayed dynamical nodes

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