Journal of Applied Mathematics
Volume 2013 (2013), Article ID 845253, 8 pages
http://dx.doi.org/10.1155/2013/845253
Research Article

Adaptive Synchronization and Antisynchronization of a Hyperchaotic Complex Chen System with Unknown Parameters Based on Passive Control

Xiaobing Zhou,1 Lianglin Xiong,2 Weiwei Cai,1 and Xiaomei Cai3

1School of Information Science and Engineering, Yunnan University, Kunming 650091, China
2School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming 650031, China
3Bureau of Asset Management, Yunnan University, Kunming 650091, China

Received 1 October 2012; Accepted 22 February 2013

Academic Editor: Erik Van Vleck

Copyright © 2013 Xiaobing Zhou 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 the synchronization and antisynchronization problems of a hyperchaotic complex Chen system with unknown parameters based on the properties of a passive system. The essential conditions are derived under which the synchronization or antisynchronization error dynamical system could be equivalent to a passive system and be globally asymptotically stabilized at a zero equilibrium point via smooth state feedback. Corresponding parameter estimation update laws are obtained to estimate the unknown parameters as well. Numerical simulations verify the effectiveness of the theoretical analysis.