参数不确定非自治混沌系统的自适应指数同步  

Adaptive Exponential Synchronization of Non-Autonomous Chaotic Systems With Uncertain Parameters

作　　者：陈学菲 刘辉昭[1] CHEN Xuefei;LIU Huizhao(School of Science,Hebei University of Technology,Tianjin 300401,P.R.China)

机构地区：[1]河北工业大学理学院,天津300401

出　　处：《应用数学和力学》2021年第3期316-322,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11371110)。

摘　　要：针对参数不确定非自治混沌系统,研究了指数同步问题.给出了自适应控制器的构造方法,并运用Lyapunov稳定性定理证明了在该控制器下的误差系统是指数稳定的,且可以通过调整控制参数控制同步时间.最后,利用MATLAB软件对两个含有不确定参数的非自治混沌系统进行了数值仿真,验证了所提出方法的有效性和正确性.The exponential synchronization of non-autonomous chaotic systems with uncertain parameters was studied.The adaptive controller was designed.Based on the Lyapunov stability theory,the exponential stability of the error system was proved.Furthermore,the synchronization time was controlled through adjustment of the control parameters.Numerical simulations of 2 non-autonomous chaotic systems with uncertain parameters were presented to illustrate the ability and effectiveness of the proposed method.

关 键 词：非自治系统 混沌 自适应控制 不确定参数 指数同步 

分 类 号：O231.2[理学—运筹学与控制论] O415.5[理学—数学]