Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

doi:10.1088/1674-1056/21/5/050508

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50508-050508.doi: 10.1088/1674-1056/21/5/050508

Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

王树国¹ ²,姚洪兴²

1. Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
2. School of Finance & Economics, Jiangsu University, Zhenjiang 212013, China

收稿日期:2011-07-27 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Six Talents Peak Foundation of Jiangsu Province, China (Grant No. 2010-JY70-025).

Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

Wang Shu-Guo(王树国)^a)b)† and Yao Hong-Xing(姚洪兴)^b)

a. Department of Mathematics and Physics, Changzhou Campus, Hohai University, Changzhou 213022, China;
b. School of Finance & Economics, Jiangsu University, Zhenjiang 212013, China

Received:2011-07-27 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 70871056) and the Six Talents Peak Foundation of Jiangsu Province, China (Grant No. 2010-JY70-025).

摘要/Abstract

摘要： This paper deals with the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delays and time-varying delays in the dynamical nodes. We control a part of the nodes of the complex networks by using adaptive feedback controllers and adjusting the time-varying coupling strengths. Based on the Lyapunov--Krasovskii stability theory for functional differential equations and a linear matrix inequality (LMI), some sufficient conditions for the synchronization are derived. A numerical simulation example is also provided to verify the correctness and the effectiveness of the proposed scheme.

关键词: complex networks, adaptive feedback controllers, time-varying delays, pinning controllers

Abstract: This paper deals with the pinning synchronization of nonlinearly coupled complex networks with time-varying coupling delays and time-varying delays in the dynamical nodes. We control a part of the nodes of the complex networks by using adaptive feedback controllers and adjusting the time-varying coupling strengths. Based on the Lyapunov--Krasovskii stability theory for functional differential equations and a linear matrix inequality (LMI), some sufficient conditions for the synchronization are derived. A numerical simulation example is also provided to verify the correctness and the effectiveness of the proposed scheme.

Key words: complex networks, adaptive feedback controllers, time-varying delays, pinning controllers

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. Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes[J]. 中国物理B, 2012, 21(5): 50508-050508.

Wang Shu-Guo(王树国) and Yao Hong-Xing(姚洪兴) . Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes[J]. Chin. Phys. B, 2012, 21(5): 50508-050508.

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Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

Pinning synchronization of time-varying delay coupled complex networks with time-varying delayed dynamical nodes

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