Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 214169, 14 pages
http://dx.doi.org/10.1155/2012/214169
Research Article

Control and Synchronization of the Fractional-Order Lorenz Chaotic System via Fractional-Order Derivative

Ping Zhou1,2 and Rui Ding1,2

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

Received 8 February 2012; Revised 6 April 2012; Accepted 20 April 2012

Academic Editor: Ricardo Femat

Copyright © 2012 Ping Zhou and Rui Ding. 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 unstable equilibrium points of the fractional-order Lorenz chaotic system can be controlled via fractional-order derivative, and chaos synchronization for the fractional-order Lorenz chaotic system can be achieved via fractional-order derivative. The control and synchronization technique, based on stability theory of fractional-order systems, is simple and theoretically rigorous. The numerical simulations demonstrate the validity and feasibility of the proposed method.