分数阶四维忆阻超混沌系统的滑模同步  

Sliding Mode Synchronization of Fractional-Order 4D Memristive Hyperchaotic Systems

作　　者：王晓东[1] 史丽敏[1] 毛北行[1] WANG Xiao-dong;SHI Li-min;MAO Bei-xing(School 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15期189-194,共6页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(NSFC11501525)。

摘　　要：研究了分数阶四维忆阻超混沌系统滑模同步的两种方法,设计分数阶控制器与滑模函数,获得分数阶忆阻超混沌系统滑模同步两个充分条件,研究表明:在设计适当的滑模面与控制律下,不确定分数阶忆阻超混沌系统可取得滑模同步.Two methods for sliding mode synchronization of fractional-order 4 D memristive hyperchaotic systems were studied in the paper.And fractional-order controllers and sliding mode functions were founded.Sufficient conditions are established to ensure fractionalorder memristive hyperchaotic systems acquire sliding mode synchronization.The research conclusion illustrated that fractional-order memristive hyperchaotic systems could get sliding mode synchronization under proper sliding mode surfaces and control laws.

关 键 词：分数阶 忆阻超混沌系统 滑模 同步 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]