Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 153542, 19 pages
http://dx.doi.org/10.1155/2012/153542
Research Article

Generalized Projective Synchronization between Two Different Neural Networks with Mixed Time Delays

Xuefei Wu,1,2 Chen Xu,3 Jianwen Feng,3 Yi Zhao,3 and Xuan Zhou4

1College of Information and Engineering, Shenzhen University, Shenzhen 518060, China
2School of Computer Engineering, Shenzhen Polytechnic, Shenzhen 518055, China
3College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China
4School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received 28 December 2011; Accepted 15 March 2012

Academic Editor: Taher S. Hassan

Copyright © 2012 Xuefei Wu 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

The generalized projective synchronization (GPS) between two different neural networks with nonlinear coupling and mixed time delays is considered. Several kinds of nonlinear feedback controllers are designed to achieve GPS between two different such neural networks. Some results for GPS of these neural networks are proved theoretically by using the Lyapunov stability theory and the LaSalle invariance principle. Moreover, by comparison, we determine an optimal nonlinear controller from several ones and provide an adaptive update law for it. Computer simulations are provided to show the effectiveness and feasibility of the proposed methods.