文献类型：期刊文献

中文题名：Control and Stabilization of Chaotic System Based on Linear Feedback Control Method

作者：WEI Xingmin[1];LI Dekui[1]

第一作者：魏兴民

机构：[1]School of Public Health,Gansu University of Chinese Medicine,Lanzhou 730000,Gansu,China

第一机构：甘肃中医药大学公共卫生学院

年份：2024

卷号：29

期号：3

起止页码：284

中文期刊名：Wuhan University Journal of Natural Sciences

外文期刊名：武汉大学学报（自然科学英文版）

收录：CSTPCD;;CSCD:【CSCD2023_2024】；

基金：Supported by the National Natural Science Foundation of China (61863022);the Natural Science Foundation of Gansu Province(20JR10RA329);Scientific Research and Innovation Fund Project of Gansu University of Chinese Medicine in 2019 (2019KCYB-10)。

语种：英文

中文关键词：chaotic system without time-delay;chaotic system with time-delay;stabilization;linear feedback control method

摘要：In this paper, two kinds of chaotic systems are controlled respectively with and without time-delay to eliminate their chaotic behaviors. First of all, according to the first-order approximation method and the stabilization condition of the linear system, one linear feedback controller is structured to control the chaotic system without time-delay, its chaotic behavior is eliminated and stabilized to its equilibrium. After that, based on the first-order approximation method, the Lyapunov stability theorem, and the matrix inequality theory, the other linear feedback controller is structured to control the chaotic system with time-delay and make it stabilized at its equilibrium. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the two linear feedback controllers.