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.
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)