分数阶不确定复杂网络系统滑模同步的两种方法  

Two methods for sliding mode synchronization of uncertain fractional-order complex network systems

作　　者：孟晓玲[1] 毛北行[1] MENG Xiaoling;MAO Beixing(School 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,河南郑州450046

出　　处：《安徽大学学报（自然科学版）》2021年第6期13-18,共6页Journal of Anhui 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：研究了分数阶复杂网络系统的同步特性.在分数阶稳定性理论的基础上,设计了两种分数阶控制器和滑模面,实现了该系统滑模同步的两个充分条件.研究结果表明:在适当的滑模面和控制器下,分数阶不确定复杂网络系统可以达到同步.The synchronization of fractional-order complex network systems were investigated based on fractional-order stability theory,two kinds of fractional-order controller and sliding mode was designed,we realized the synchronization control of this systems.The research conclusion illustrated that uncertain fractional-order complex network systems could get sliding mode synchronization under proper fractional controller and sliding mode.

关 键 词：分数阶 不确定 复杂网络 滑模同步 

分 类 号：O415[理学—理论物理]