Finite-time input-to-state stability of nonlinear impulsive systems

被引：36

作者：

He, Xinyi ^{[1
]}

Li, Xiaodi ^{[1
,2
]}

Song, Shiji ^{[2
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[2] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China

来源：

AUTOMATICA | 2022年 / 135卷

基金：

中国国家自然科学基金;

关键词：

Finite time; Input-to-state stability; Impulsive systems; Lyapunov method; Disturbance;

D O I：

10.1016/j.automatica.2021.109994

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper extends the finite-time input-to-state stability (FTISS) property to nonlinear impulsive systems. By the Lyapunov method, several sufficient conditions are provided to obtain ISS property of nonlinear impulsive systems in the framework of finite time, where external inputs are considered in both the continuous dynamics and impulsive dynamics. Considering destabilizing impulsive actions, a relation of the impulsive frequency, the system structure, and exogenous disturbances is given to guarantee the FTISS and the uniform FTISS of impulsive systems. Examples are given to illustrate the effectiveness of the proposed results. (C)& nbsp;2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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