Journal of Jilin University Science Edition ›› 2026, Vol. 64 ›› Issue (5): 1179-1185.

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Finite-Time Adaptive Sliding Mode Synchronization of Variable Fractional-Order Sprott-R Chaotic Systems

Mao Beixing, Meng Xiaoling, Wang Dongxiao, Jiao Jianfeng, Chen Can   

  1. School of Mathematics, Zhengzhou University of Aeronautic, Zhengzhou 450046, China
  • Received:2024-10-28 Online:2026-09-26 Published:2026-09-26

Abstract: We studied adaptive sliding mode synchronization of variable fractional-order Sprott-R chaotic system. Based on variable fractional-order Lyapunov stability theory, we applied finite-time synchronization related conclusions and designed a variable fractional-order finite-time adaptive sliding mode controller to obtain the synchronization conditions of variable fractional-order Sprott-R chaotic system under certain assumptions. We then used MATLAB for number simulation to verify the conclusion.

Key words: variable fractional-order, Sprott-R chaotic system, sliding mode synchronization

CLC Number: 

  • O415.5