Finite-Time and Fixed-Time Attractiveness for Nonlinear Impulsive Systems

被引：20

作者：

Hu, Hongxiao ^{[1
]}

Gao, Bei ^{[1
]}

Xu, Liguang ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Stability criteria; Asymptotic stability; Convergence; Time-varying systems; Nonlinear systems; Perturbation methods; Continuous time systems; Finite-time attractiveness; fixed-time attractiveness; nonlinear impulsive system; TO-STATE STABILITY; ASYMPTOTIC STABILITY; MULTIAGENT SYSTEMS; COMPLEX NETWORKS; SYNCHRONIZATION; STABILIZATION; CONSENSUS;

D O I：

10.1109/TAC.2021.3123237

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, the finite-time and fixed-time attractiveness problems are investigated for nonlinear impulsive systems. The aim of the proposed problems is to establish some general Lyapunov theorems and settling-time estimates for finite-time and fixed-time attractiveness of nonlinear impulsive systems by analysis technics. Moreover, some comparisons with the existing results are also given. The classical finite-time and fixed-time convergence theorems for nonlinear impulse-free systems are well extended to nonlinear impulsive systems by our results. Furthermore, the existing results of finite-time and fixed-time attractiveness for nonlinear impulsive systems are well improved. Finally, some simulations are utilized to illustrate the usefulness of the theoretical analysis.

引用

页码：5586 / 5593

页数：8

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