Synchronization of complex switched delay dynamical networks with simultaneously diagonalizable coupling matrices  

作　　者：Tao LIU Jun ZHAO 

机构地区：[1]Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang Liaoning 110004, China

出　　处：《控制理论与应用（英文版）》2008年第4期351-356,共6页

基　　金：the National Natural Science Foundation of China (No.60874024, 60574013).

摘　　要：This paper studies local exponential synchronization of complex delayed networks with switching topology via switched system stability theory. First, by a common unitary matrix, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when all subnetworks are synchronizable, a delay-dependent sufficient condition is given in terms of linear matrix inequalities （LMIs） which guarantees the solvability of the synchronization problem under an average dwell time scheme. We extend this result to the case that not all subnetworks are synchronizable. It is shown that in addition to average dwell time, if the ratio of the total activation time of synchronizable and non-synchronizable subnetworks satisfy an extra condition, then the problem is also solvable. Two numerical examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results.This paper studies local exponential synchronization of complex delayed networks with switching topology via switched system stability theory. First, by a common unitary matrix, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when all subnetworks are synchronizable, a delay-dependent sufficient condition is given in terms of linear matrix inequalities （LMIs） which guarantees the solvability of the synchronization problem under an average dwell time scheme. We extend this result to the case that not all subnetworks are synchronizable. It is shown that in addition to average dwell time, if the ratio of the total activation time of synchronizable and non-synchronizable subnetworks satisfy an extra condition, then the problem is also solvable. Two numerical examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results.

关 键 词：Exponential synchronization Complex dynamical network Switching topology Switched systems Av-erage dwell time Coupling delays Simultaneously diagonalizable matrices 

分 类 号：O174[理学—数学]