基于同胚变换的混沌控制  

Chaos Control Based on Homeomorphism Transform

作　　者：张万杰 黄柳 吴梦成 刘兵 刘勇 ZHANG Wanjie;HUANG Liu;WU Mengcheng;LIU Bing;LIU Yong(School of Mathematics and Statistics,Yancheng Teachers University,Yancheng 224002,China)

机构地区：[1]盐城师范学院数学与统计学院,江苏盐城224002

出　　处：《连云港职业技术学院学报》2020年第2期1-4,共4页Journal of Lianyungang Technical College

基　　金：江苏省大学生实践创新训练计划项目(201710324001X)。

摘　　要：通过微分同胚映射将一个非线性连续系统转化为线性可输入系统,基于线性控制理论设计控制器对混沌系统进行控制,利用四阶龙格-库塔法对R?ssler系统进行数值仿真,数值计算结果验证了理论分析的可靠性。A nonlinear continuous system is transformed into a linear input system by diffeomorphic mapping.The controller is designed to control the chaotic system based on the linear control theory.The 4 th-order Runge-Kutta method is used to simulate the R?ssler system.The numerical results verify the reliability of the theoretical analysis.

关 键 词：混沌系统 李导数 反馈线性方法 

分 类 号：O415.5[理学—理论物理]