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

被引：12

作者：

Liu T. ^{[1
]}

Zhao J. ^{[1
]}

机构：

[1] Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang

来源：

J. Control Theory Appl. | 2008年 / 4卷 / 351-356期

基金：

中国国家自然科学基金;

关键词：

Average dwell time; Complex dynamical network; Coupling delays; Exponential synchronization; Simultaneously diagonalizable matrices; Switched systems; Switching topology;

D O I：

10.1007/s11768-008-7198-4

中图分类号：

学科分类号：

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. © 2008 Editorial Board of Control Theory and Applications, South China University of Technology and Springer-Verlag GmbH.

引用

页码：351 / 356

页数：5

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