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Discrete Dynamics in Nature and Society
Volume 2014 (2014), Article ID 835867, 9 pages
http://dx.doi.org/10.1155/2014/835867
Research Article

Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control

Industrial Training Center, Shenzhen Polytechnic, Shenzhen 518000, China

Received 4 April 2014; Revised 4 June 2014; Accepted 4 June 2014; Published 26 June 2014

Academic Editor: Luca Guerrini

Copyright © 2014 Xuan Zhou and Kui Luo. 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 cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme. These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays. Using the Lyapunov-Krasovskii functional, Itö’s formula, and some linear matrix inequalities (LMI), several novel sufficient conditions are obtained to guarantee the desired cluster synchronization. At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results.