Synchronization analysis of linear complex networks with time delays

Author

Li Hailong ; Xi Jianxiang ; Song Haisong ; Cao Yaoqin

Author_Institution

Xi´an Res. Inst. of High-tech, Xi´an, China

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

632

Lastpage

636

Abstract

Synchronization of high-order discrete-time complex networks with time-varying delays and undirected communication topologies are investigated. Firstly, synchronization problems are converted into asymptotic stability ones, and the necessary and sufficient conditions for synchronization are presented. Based on the linear matrix inequality (LMI), sufficient conditions for synchronization are proposed. Then, an explicit expression of the synchronization function is given. Finally, numerical simulations are shown to demonstrate theoretical results.

Keywords

asymptotic stability; complex networks; delays; discrete time systems; linear matrix inequalities; network theory (graphs); synchronisation; LMI; asymptotic stability; high-order discrete-time complex networks; linear complex networks; linear matrix inequality; necessary condition; sufficient condition; synchronization analysis; synchronization function; time-varying delays; undirected communication topologies; Complex networks; Delays; Protocols; Sufficient conditions; Synchronization; Topology; Synchronization; complex network; synchronization function; time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6852243

Filename

6852243