Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (6): 1545-1550.

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Adaptive Sliding Mode Synchronization of Three-Dimensional Fractional-Order Uncertain Chaotic Systems

MAO Beixing, ZHANG Youlin   

  1. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, China
  • Received:2020-07-24 Online:2021-11-26 Published:2021-11-26

Abstract: We studied the adaptive sliding mode synchronization of three-dimensional fractional-order chaotic systems, gave the design of sliding mode functions and construction of controllers, and obtained the sufficient conditions for adaptive sliding mode synchronization of three-dimensional fractional-order uncertain chaotic systems. The relevant conclusions of fractional-order were extended to the case of integer-order, and the correctness of the conclusions was verified by MATLAB.

Key words: fractional-order, three-dimensional chaotic system, uncertain, adaptive

CLC Number: 

  • O482.4