Control and Stabilization of Chaotic System Based on Linear Feedback Control Method  

作　　者：WEI Xingmin LI Dekui 

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

出　　处：《Wuhan University Journal of Natural Sciences》2024年第3期284-292,共9页武汉大学学报（自然科学英文版）

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)。

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.

关 键 词：chaotic system without time-delay chaotic system with time-delay STABILIZATION linear feedback control method 

分 类 号：O231[理学—运筹学与控制论]