分数阶不确定混沌Tang系统的自适应滑模同步  

Self-Adaptive Sliding Mode Synchronization of Fractional-Order Uncertain Chaotic Tang System

作　　者：金爱云[1] 毛北行[1] 王东晓[1] JIN Ai-yun;MAO Bei-xing;WANG Dong-xiao(School of Mathematics,Zhengzhou University of Aeronautic,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》2021年第14期247-252,共6页Mathematics in Practice and Theory

基　　金：国家自然科学青年基金(11801528;41906003)。

摘　　要：研究分数阶不确定混沌Tang系统的自适应滑模同步,根据分数阶稳定性理论和自适应滑模方法得到分数阶不确定混沌Tang系统滑模同步的充分条件,并将分数阶的研究结论平推到整数阶系统,用数值仿真对结论进行检验.Self-adaptive sliding mode synchronization of fractional-order uncertain chaotic Tang system has been studied in the paper.The sufficient conditions had been arrived for fractional-order uncertain chaotic based on fractional-order stability theory and self-adaptive sliding mode methods.The conclusion of fractional-order chaotic Tang system were extended to integer-order Tang systems.The conclusion was proved to be correct using numerical simulations examples.

关 键 词：分数阶 混沌 滑模 同步 

分 类 号：O415.5[理学—理论物理]