Volume 6, Issue 2, December 2018, Page: 69-74
Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System
Changyou Wang, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China; College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, P. R. China; College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Yuan Zhuo, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Xingcheng Pu, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Yonghong Li, College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Rui Li, College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Received: Oct. 13, 2018;       Accepted: Oct. 31, 2018;       Published: Dec. 14, 2018
DOI: 10.11648/j.ajesa.20180602.11      View  676      Downloads  172
Abstract
This paper is concerned with the adaptive impulsive synchronization for a class of delay fractional-order chaotic system. Firstly, according to the impulsive differential equations theory and the adaptive control theory, the adaptive impulsive controller and the parametric update law are designed, respectively. Secondly, by constructing the suitable response system, the original fractional-order error system can be converted into the integral-order one. Finally, based on the Lyapunov stability theory and the generalized Barbalat’s lemma, some new sufficient conditions are derived to guarantee the asymptotic stability of synchronization error system.
Keywords
Delay, Fractional-Order, Chaotic System, Impulsive, Synchronization
To cite this article
Changyou Wang, Yuan Zhuo, Xingcheng Pu, Yonghong Li, Rui Li, Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System, American Journal of Embedded Systems and Applications. Vol. 6, No. 2, 2018, pp. 69-74. doi: 10.11648/j.ajesa.20180602.11
Copyright
Copyright © 2018 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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