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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 167198, 6 pages
http://dx.doi.org/10.1155/2013/167198
Research Article

Synchronization between Two Discrete-Time Networks with Mutual Couplings

Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, China

Received 22 September 2013; Accepted 4 November 2013

Academic Editor: Jianquan Lu

Copyright © 2013 Meng Xiao 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

We investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to the inner synchronization inside each network, the outer synchronization between two networks is difficult to achieve.