Fixed-time stabilization for a class of nonlinear time-delay systems

被引：3

作者：

Wang, Xuhuan ^{[1
]}

Peng, Youhua ^{[1
]}

Xie, Yuande ^{[1
]}

机构：

[1] Pingxiang Univ, Lab complex Syst intelligent control, Pingxiang 337055, Jiangxi, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期

基金：

中国国家自然科学基金;

关键词：

fixed-time stabilization; Lyapunov-Krasovskii functional; nonlinear system; time-delay; FINITE-TIME; STABILITY; CONSENSUS; DESIGN;

D O I：

10.1002/mma.9090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the problem of fixed-time stabilization (FTS) for a class of second-order nonlinear time-delay systems. Using the fixed-time stability theory and Lyapunov-Krasovskii functional, a design scheme of fixed-time stability for time-delay systems is proposed. This scheme effectively solves the adverse impact of time-delay on the system, and and ensure that the corresponding closed-loop system is stable for a fixed time. The main benefit of the proposed control methods is that the influences of time-delay state and nonlinear uncertainties can be effectively attenuated with the help of feedback method. Finally, the simulation is given to show the effectiveness of the design scheme.

引用

页码：9876 / 9886

页数：11

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