Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 209321, 12 pages
http://dx.doi.org/10.1155/2011/209321
Research Article

Synchronization Analysis of Two Coupled Complex Networks with Time Delays

Weigang Sun,1 Jingyuan Zhang,1 and Changpin Li2

1School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
2Department of Mathematics, Shanghai University, Shanghai 200444, China

Received 17 August 2010; Revised 10 January 2011; Accepted 31 January 2011

Academic Editor: Recai Kilic

Copyright © 2011 Weigang Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper studies the synchronized motions between two complex networks with time delays, which include individual inner synchronization in each network and outer synchronization between two networks. Based on the Lyapunov stability theory and the linear matrix equality (LMI), a synchronous criterion for inner synchronization inside each network is derived. Numerical examples are given which fit the theoretical analysis. In addition, the involved numerical results show that the delays between two networks have little effect on inner synchronization. It is also shown that synchronous motions within each network or between two networks are not enhanced if individual intranetwork connections are allowed.