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

作　　者：王树国 姚洪兴 

机构地区：[1]Department of Mathematics and Physics,Changzhou Campus,Hohai University [2]School of Finance&Economics,Jiangsu University

出　　处：《Chinese Physics B》2012年第5期119-125,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 70871056);the Six Talents Peak Foundation of Jiangsu Province,China (Grant No. 2010-JY70-025)

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.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 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]