Cluster exponential synchronization of a class of complex networks with hybrid coupling and time-varying delay  

作　　者：王军义 张化光 王占山 梁洪晶 

机构地区：[1]College of Information Science and Engineering,Northeastern University

出　　处：《Chinese Physics B》2013年第9期324-334,共11页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 61074073 and 61034005);the Fundamental Research Funds for the Central Universities of China (Grant No. N110504001);the Open Project of the State Key Laboratory of Management and Control for Complex Systems, China (Grant No. 20110107)

摘　　要：This paper deals with the cluster exponential synchronization of a class ot complex networks wlm nyorm coupm^g and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality （LMI） technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.This paper deals with the cluster exponential synchronization of a class ot complex networks wlm nyorm coupm^g and time-varying delay. Through constructing an appropriate Lyapunov-Krasovskii functional and applying the theory of the Kronecker product of matrices and the linear matrix inequality （LMI） technique, several novel sufficient conditions for cluster exponential synchronization are obtained. These cluster exponential synchronization conditions adopt the bounds of both time delay and its derivative, which are less conservative. Finally, the numerical simulations are performed to show the effectiveness of the theoretical results.

关 键 词：complex network cluster exponential synchronization linear matrix inequality time-varying de-lay 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]