Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (6): 1448-1456.

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Four Sufficient Conditions for Sliding Mode Synchronization of Fractional-Order Atmospheric Chaotic Systems

MAO Beixing, WANG Dongxiao   

  1. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China
  • Received:2022-11-10 Online:2023-11-26 Published:2023-11-26

Abstract: We designed four simple forms of sliding mode surfaces and control inputs, studied the sliding mode synchronization of the fractio
nal-order atmospheric chaotic systems, obtained four sufficient conditions for sliding mode synchronization of the fractional-order atmospheric chaotic systems, and verified the conclusions through numerical simulation. The results show that the master-slave system of the fractional-order atmospheric chaotic systems can achieve sliding mode synchronization under certain conditions.

Key words: atmospheric chaos, fractional-order, sliding mode, synchronization

CLC Number: 

  • O482.4