Synchronization of Fractional-Order Memristor-Based Chaotic System via Adaptive Control  

作　　者：丁大为 张亚琴 王年 

机构地区：[1]School of Electronics and Information Engineering,Anhui University,Hefei 230601,China

出　　处：《Journal of Donghua University(English Edition)》2017年第5期653-660,共8页东华大学学报（英文版）

基　　金：National Natural Science Foundation of China(No.61201227)

摘　　要：The synchronization of a novel fractional-order memristorbased chaotic system is investigated.And an adjustable adaptive controller is designed to achieve the synchronization of this system.By adjusting the control coefficients of the controller,drive-response system can achieve many different types of synchronization such as adaptive synchronization,projective synchronization and antisynchronization.The sufficient condition for the synchronization has been analyzed by the stability theory of fractional-order differential system.Finally,numerical simulations are used to demonstrate that the proposed adaptive controller is effective and correct.The synchronization of a novel fractional-order memristorbased chaotic system is investigated.And an adjustable adaptive controller is designed to achieve the synchronization of this system.By adjusting the control coefficients of the controller,drive-response system can achieve many different types of synchronization such as adaptive synchronization,projective synchronization and antisynchronization.The sufficient condition for the synchronization has been analyzed by the stability theory of fractional-order differential system.Finally,numerical simulations are used to demonstrate that the proposed adaptive controller is effective and correct.

关 键 词：SYNCHRONIZATION fractional-order system raemristor-basedchaotic system adaptive controller Lyapunov stability theory 

分 类 号：O193[理学—数学]