Adaptive Impulsive Synchronization for a Class of Delay Fractional-Order Chaotic System
American Journal of Embedded Systems and Applications
Volume 6, Issue 2, December 2018, Pages: 69-74
Received: Oct. 13, 2018;
Accepted: Oct. 31, 2018;
Published: Dec. 14, 2018
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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
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.
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.
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