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Mathematical Problems in Engineering
Volume 2015, Article ID 545827, 8 pages
http://dx.doi.org/10.1155/2015/545827
Research Article

Pinning Synchronization of Switched Complex Dynamical Networks

1State Key Laboratory of Synthetical Automation for Process Industries, College of Information Science & Engineering, Northeastern University, Shenyang 110819, China
2Faculty of Information & Control Engineering, Shenyang Jianzhu University, Shenyang 110168, China

Received 15 August 2014; Revised 8 October 2014; Accepted 28 October 2014

Academic Editor: Xi-Ming Sun

Copyright © 2015 Liming Du 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

Network topology and node dynamics play a key role in forming synchronization of complex networks. Unfortunately there is no effective synchronization criterion for pinning synchronization of complex dynamical networks with switching topology. In this paper, pinning synchronization of complex dynamical networks with switching topology is studied. Two basic problems are considered: one is pinning synchronization of switched complex networks under arbitrary switching; the other is pinning synchronization of switched complex networks by design of switching when synchronization cannot achieved by using any individual connection topology alone. For the two problems, common Lyapunov function method and single Lyapunov function method are used respectively, some global synchronization criteria are proposed and the designed switching law is given. Finally, simulation results verify the validity of the results.