不确定分数阶金融超混沌系统的自适应滑模同步  

Adaptive sliding mode synchronization of uncertain fractional-order hyper-chaotic financial systems

作　　者：孟晓玲[1] 毛北行[1] 王东晓[1] 陈灿 MENG Xiaoling;MAO Beixing;WANG Dongxiao;CHEN Can(Colleg of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,郑州450046

出　　处：《扬州大学学报（自然科学版）》2021年第5期23-26,35,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金青年基金资助项目(11801528).

摘　　要：利用极限理论与分数阶稳定性理论的技巧,研究不确定分数阶金融超混沌系统的适应滑模同步,并通过设计一个巧妙的分数阶滑模面和控制器,得到金融系统滑模同步的两个充分条件.研究结果和数值仿真表明,在合适的滑模面和控制器下,金融混沌系统可以达到滑模同步.Using the techniques of limit theory and fractional stability theory,the author studies the adaptive sliding mode synchronization of uncertain fractional financial hyper-chaotic systems.An ingeniousfractional-order sliding mode surface and controller are obtained and two sufficient conditions for sliding mode synchronization in financial systems are deduced.The results and numerical simulation show that the financial chaotic system can achieve the sliding mode synchronization under a suitable sliding mode surface and a controller.

关 键 词：不确定 分数阶 超混沌系统 滑模同步 

分 类 号：O415.5[理学—理论物理]