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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 142061, 8 pages
http://dx.doi.org/10.1155/2014/142061
Research Article

Group Synchronization of Nonlinear Complex Dynamics Networks with Sampled Data

1Mathematics and Physics, Nanyang Institute of Technology, Nanyang, Henan 473004, China
2College of Science, North China University of Technology, Beijing 100144, China
3School of Economics and Management, Beijing University of Technology, Beijing 100022, China

Received 6 December 2013; Accepted 5 February 2014; Published 24 March 2014

Academic Editor: Huaicheng Yan

Copyright © 2014 Man Li 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

Based on a nonlinear consensus protocol, this paper considers the group synchronization of complex dynamical networks with sampled data. Using the Lyapunov method, the group synchronization of the nonlinear complex networks is analyzed. All the nodes in each group can converge to their own synchronous state asymptotically, if the sampled period satisfies some matrix inequality conditions. Furthermore, the theoretical results are verified by some simulations.