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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 680604, 7 pages
http://dx.doi.org/10.1155/2013/680604
Research Article

Synchronization of Coupled Chaotic Systems with Ring Connection Based on Special Antisymmetric Structure

1School of Sciences, Linyi University, Linyi 276005, China
2School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China
3School of Automobile Engineering, Linyi University, Linyi 276005, China

Received 15 June 2013; Accepted 20 August 2013

Academic Editor: Xinsong Yang

Copyright © 2013 Xiangyong Chen 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 considers the complete synchronization problem for coupled chaotic systems with ring connections. First, we use a direct design method to design a synchronization controller. It transforms the error system into a stable system with special antisymmetric structure. And then, we get some simple stability criteria of achieving the complete synchronization. These criteria are not only easily verified but also improve and generalize previous known results. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical analysis.