三维分数阶不确定混沌系统的自适应滑模同步  

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

作　　者：毛北行[1] 张又林[1] MAO Beixing;ZHANG Youlin(College of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450015,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450015

出　　处：《吉林大学学报（理学版）》2021年第6期1545-1550,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金青年基金(批准号:11801528,41906003);航空科学基金(批准号:2016ZG55019);河南省高校重点基础研究专项基金(批准号:20ZX003).

摘　　要：研究三维分数阶混沌系统的自适应滑模同步,给出滑模函数的设计和控制器的构造,得到三维分数阶不确定混沌系统的自适应滑模同步的充分条件,将分数阶的相关结论推广到整数阶情形,并用MATLAB验证结论的正确性.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.

关 键 词：分数阶 三维混沌系统 不确定 自适应 

分 类 号：O482.4[理学—固体物理]