整数阶分数阶Rucklidge混沌系统的自适应滑模同步  

Self-Adaptive Sliding Mode Synchronization of Integer-Order and Fractional-Order Rucklidge Chaotic Systems

作　　者：李亮[1] 毛北行[1] 王东晓[1] 程春蕊[1] LI Liang;MAO Bei-xing;WANG Dong-xiao;CHENG Chun-rui(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：《数学的实践与认识》2020年第13期221-227,共7页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(NSFC11501525)。

摘　　要：基于分数阶自适应滑模同步理论研究不确定Rucklidge混沌系统的同步,得到了不确定分数阶Rucklidge混沌系统取得自适应滑模同步的充分条件,研究表明:构造适当的控制律与滑模函数,整数阶分数阶不确定Rucklidge系统取得自适应滑模同步.Self-adaptive sliding mode synchronization of uncertainty Rucklidge chaotic systems were studied based on fractional-order self-adaptive sliding mode synchronization theory.The sufficient conditions were arrived for uncertain fractional-order Rucklidge systems getting self-adaptive sliding mode synchronization.The research conclusion illustrated that integer-order and fractional-order Rucklidge systems were self-adaptive sliding mode synchronization if choose proper control laws and sliding mode functions.

关 键 词：分数阶 自适应 Rucklidge系统 滑模 同步 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]