分数阶Like-Bao系统自适应滑模同步的整数阶滑模面设计  

Design of integer-order sliding mode surfaces for self-adaptive sliding mode synchronization of fractional-order Like-Bao system

作　　者：周长芹[1] 毛北行[1] 王东晓[1] ZHOU Chang-qin;MAO Bei-xing;WANG Dong-xiao(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,河南郑州450015

出　　处：《东北师大学报（自然科学版）》2022年第1期47-51,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年基金资助项目(NSFC11501525).

摘　　要：基于自适应技巧研究了分数阶Like-Bao混沌系统滑模同步,构造出一种整数阶滑模函数和自适应规则,取得了分数阶Like-Bao混沌系统自适应滑模同步的充分条件,进而得出分数阶Like-Bao混沌系统在符合一定条件下可取得自适应滑模同步的结论.Self-adaptive sliding mode synchronization of fractional order Like-Bao system was studied based on self-adaptive technique.Integer-order sliding mode functions and self-adaptive rules were given in the paper.Sufficient conditions were acquired for self-adaptive sliding mode synchronization of Like-Bao chaotic systems.Conclusion demonstrated that fractional-order Like-bao systems were self-adaptive sliding mode synchronization under certain conditions.

关 键 词：分数阶 滑模 Like-Bao系统 同步 

分 类 号：O482.4[理学—固体物理]