Volume 4, Issue 6, December 2016, Page: 232-241
Generalized Synchronization of Fractional Order Chaotic Systems with Time-Delay
Sha Wang, School of Information, Beijing Wuzi University, Beijing, China
Jie Li, School of Information, Beijing Wuzi University, Beijing, China
Renhao Jin, School of Information, Beijing Wuzi University, Beijing, China
Received: Jul. 22, 2016;       Accepted: Oct. 27, 2016;       Published: Dec. 17, 2016
DOI: 10.11648/j.ijmea.20160406.14      View  3699      Downloads  182
Generalized synchronization of time-delayed fractional order chaotic systems is investigated. According to the stability theorem of linear fractional differential systems with multiple time-delays, a nonlinear fractional order controller is designed for the synchronization of systems with identical and non-identical derivative orders. Both complete synchronization and projective synchronization also can be realized based on the proposed controller. The effectiveness and robustness of the controller are verified in the numerical simulations.
Fractional Order, Chaos, Nonlinear Control, Generalized Synchronization, Time-Delay
To cite this article
Sha Wang, Jie Li, Renhao Jin, Generalized Synchronization of Fractional Order Chaotic Systems with Time-Delay, International Journal of Mechanical Engineering and Applications. Vol. 4, No. 6, 2016, pp. 232-241. doi: 10.11648/j.ijmea.20160406.14
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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