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Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 459801, 8 pages
http://dx.doi.org/10.1155/2013/459801
Research Article

Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay

1State Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, China
2School of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, China

Received 21 December 2012; Revised 22 May 2013; Accepted 7 June 2013

Academic Editor: Jinde Cao

Copyright © 2013 Li-xin Yang and Jun Jiang. 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 hybrid projective synchronization for fractional-order chaotic systems with time delay is investigated in this paper. On the basis of stability analysis of fractional-order systems and pole placement technique, a novel and general approach is proposed. The hybrid projective synchronization of fractional-order chaotic and hyperchaotic systems with time delay is achieved via designing an appropriate controller. Corresponding numerical results are presented to demonstrate the effectiveness of the proposed synchronization scheme. Furthermore, the influence of the fractional order on the synchronization process is discussed. The result reveals that the fractional order has a significant effect on the synchronization speed.