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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 264136, 4 pages
http://dx.doi.org/10.1155/2013/264136
Research Article

Finite-Time Synchronizing Fractional-Order Chaotic Volta System with Nonidentical Orders

School of Electronics and Information, Nantong University, Nantong, Jiangsu 226019, China

Received 3 October 2012; Accepted 27 January 2013

Academic Editor: Engang Tian

Copyright © 2013 Jian-Bing Hu and Ling-Dong Zhao. 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

We investigate synchronizing fractional-order Volta chaotic systems with nonidentical orders in finite time. Firstly, the fractional chaotic system with the same structure and different orders is changed to the chaotic systems with identical orders and different structure according to the property of fractional differentiation. Secondly, based on the lemmas of fractional calculus, a controller is designed according to the changed fractional chaotic system to synchronize fractional chaotic with nonidentical order in finite time. Numerical simulations are performed to demonstrate the effectiveness of the method.