Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 969402, 10 pages
http://dx.doi.org/10.1155/2012/969402
Research Article

Impulsive Synchronization of Nonlinearly Coupled Complex Networks

Guizhen Feng,1,2 Jinde Cao,1,3 and Jianquan Lu3

1School of Automation, Southeast University, Nanjing 210096, China
2Department of Mathematics and Physics, Nanjing Institute of Industry Technology, Nanjing 210046, China
3Department of Mathematics, Southeast University, Nanjing 210096, China

Received 25 June 2011; Revised 5 September 2011; Accepted 5 September 2011

Academic Editor: Jinling Liang

Copyright © 2012 Guizhen Feng 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 investigates synchronization problem of nonlinearly coupled dynamical networks, and an effectively impulsive control scheme is proposed to synchronize the network onto the objective state. Based on the stability analysis of impulsive differential equations, a low-dimensional sufficient condition is derived to guarantee the exponential synchronization in virtual of average impulsive interval. A numerical example is given to illustrate the effectiveness and feasibility of the proposed methods and results.