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

• 成果类型: Article
• 署名作者: Hu, Hongxiao; Gao, Bei; Xu, Liguang
• 署名单位: University of Shanghai for Science & Technology; Zhejiang University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3123237
• 发表日期: 2022
• 页码: 5586-5593
• 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

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.