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
收藏
页码：5586 / 5593
页数：8
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