吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (6): 1448-1456.

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分数阶大气混沌系统滑模同步的4个充分条件

毛北行, 王东晓   

  1. 郑州航空工业管理学院 数学学院, 郑州 450046
  • 收稿日期:2022-11-10 出版日期:2023-11-26 发布日期:2023-11-26
  • 通讯作者: 毛北行 E-mail:bxmao329@163.com

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

摘要: 设计4种形式简单的滑模面及控制输入, 研究分数阶大气混沌系统的滑模同步, 得到分数阶大气混沌系统滑模同步的4个充分条件, 并通过数值仿真对结论进行验证. 结果表明, 分数阶大气混沌系统一定条件下主从系统可取得滑模同步.

关键词: 大气混沌, 分数阶, 滑模, 同步

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

中图分类号: 

  • O482.4