Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 501843, 12 pages
http://dx.doi.org/10.1155/2012/501843
Research Article

Adaptive-Impulsive Control of the Projective Synchronization in Drive-Response Complex Dynamical Networks with Time-Varying Coupling

Song Zheng1,2

1School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, Zhejiang 310018, China
2Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China

Received 25 February 2011; Accepted 6 July 2011

Academic Editor: Zidong Wang

Copyright © 2012 Song Zheng. 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 the projective synchronization (PS) of drive-response time-varying coupling complex dynamical networks with time delay via an adaptive-impulsive controlling method, in which the weights of links are time varying. Based on the stability analysis of impulsive control system, sufficient conditions for the PS are derived, and a hybrid controller, that is, an adaptive feedback controller with impulsive control effects, is designed. Numerical simulations are performed to verify the correctness and effectiveness of theoretical result.