武汉大学自然科学学报(英文版)2024,Vol.29Issue(3) :284-292.DOI:10.1051/wujns/2024293284

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

WEI Xingmin LI Dekui
武汉大学自然科学学报(英文版)2024,Vol.29Issue(3) :284-292.DOI:10.1051/wujns/2024293284

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

WEI Xingmin 1LI Dekui1
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作者信息

  • 1. School of Public Health,Gansu University of Chinese Medicine,Lanzhou 730000,Gansu,China
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Abstract

In this paper,two kinds of chaotic systems are controlled respectively with and without time-delay to eliminate their chaotic be-haviors.First of all,according to the first-order approximation method and the stabilization condition of the linear system,one linear feed-back controller is structured to control the chaotic system without time-delay,its chaotic behavior is eliminated and stabilized to its equilib-rium.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.

Key words

chaotic system without time-delay/chaotic system with time-delay/stabilization/linear feedback control method

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基金项目

National Natural Science Foundation of China(61863022)

Natural Science Foundation of Gansu Province(20JR10RA329)

Scientific Research and Innovation Fund Project of Gansu University of Chinese Medicine in 2019(2019KCYB-10)

出版年

2024
武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

CSTPCDCSCD
影响因子:0.066
ISSN:1007-1202
参考文献量23
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