Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 496846, 15 pages
http://dx.doi.org/10.1155/2011/496846
Research Article

A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems

Ping Zhou1,2 and Xiao-You Yang2

1Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 5 April 2011; Accepted 9 June 2011

Academic Editor: Antonia Vecchio

Copyright © 2011 Ping Zhou and Xiao-You Yang. 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

An adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This proposed scheme is different with the function projective synchronization (FPS) scheme, in which the drive and response system could be synchronized up to a scaling function factor. The adaptive controller and the parameter update law are gained. Two examples are presented to demonstrate the effectiveness of the proposed scheme.