Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 768587, 11 pages
http://dx.doi.org/10.1155/2012/768587
Research Article

Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems

Ping Zhou,1,2 Rui Ding,2 and Yu-xia Cao2

1Research Center for System Theory and Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 23 May 2012; Accepted 27 June 2012

Academic Editor: Vimal Singh

Copyright © 2012 Ping 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

A hybrid projective synchronization scheme for two identical fractional-order chaotic systems is proposed in this paper. Based on the stability theory of fractional-order systems, a controller for the synchronization of two identical fractional-order chaotic systems is designed. This synchronization scheme needs not to absorb all the nonlinear terms of response system. Hybrid projective synchronization for the fractional-order Chen chaotic system and hybrid projective synchronization for the fractional-order hyperchaotic Lu system are used to demonstrate the validity and feasibility of the proposed scheme.