Fixed-time control of a class of fractional-order chaotic systems via backstepping method

被引：22

作者：

Luo, Runzi ^{[1
]}

Liu, Shuai ^{[1
]}

Song, Zijun ^{[1
]}

Zhang, Fang ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 167卷

关键词：

Fractional-order chaotic systems; Fixed-time stability; Backstepping method; SYNCHRONIZATION; DYNAMICS;

D O I：

10.1016/j.chaos.2022.113076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the fixed-time control of a class of fractional-order systems via the backstepping method. A new fractional-order fixed-time stability theorem, which is a generalization of the integer order stability theorem, is presented. By using the proposed stability theorem, the fixed-time control problem of a class of fractional-order chaotic systems is investigated. Some fixed-time convergence criteria which have some pretty properties such as no singularity and no chattering are presented via backstepping method. Simulation results are given to show the effectiveness of the presented results.

引用

页数：8

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