Synchronization analysis of a complex network family

被引：28

作者：

Huang, Chi ^{[1
]}

Ho, Daniel W. C. ^{[1
]}

Lu, Jianquan ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

Complex network family; Synchronization stability; Coupling delays; Linear matrix inequalities; GLOBAL SYNCHRONIZATION; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; MODEL;

D O I：

10.1016/j.nonrwa.2009.04.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a meaningful and challenging problem: Is it possible to establish synchronization criteria for a network family, the members of which have different network structure? Based on the parameter-dependent Lyapunov function, some synchronization criteria are proposed to address this problem. These simple yet generic criteria can lead to the advantage of easy synchronization verification of every member from the network family. On the other hand, the problem mentioned above can be regarded as a synchronization problem for a network with structure uncertainty, which is also investigated in this paper. Numerical examples are given to demonstrate the effectiveness of the derived criteria. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1933 / 1945

页数：13

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