Indefinite Lyapunov functions for input-to-state stability of impulsive systems

被引：38

作者：

Ning, Chongyang ^{[1
]}

He, Yong ^{[2
]}

Wu, Min ^{[2
]}

Zhou, Shaowu ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Sch Informat & Elect Engn, Xiangtan 411201, Peoples R China

[2] China Univ Geosci, Sch Automat, Wuhan 430074, Hubei, Peoples R China

来源：

INFORMATION SCIENCES | 2018年 / 436卷

基金：

中国国家自然科学基金;

关键词：

Input-to-state stability (ISS); Integral input-to-state stability (iISS); Lyapunov function; Impulsive systems; Indefinite Lyapunov function; STABILIZATION;

D O I：

10.1016/j.ins.2018.01.016

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 presents a new Lyapunov method for the input-to-state stability (ISS) and integral ISS (iISS) of impulsive systems. The approach is proposed on the basis of an indefinite Lyapunov function rather than a negative definite one. When the continuous dynamics have a Lyapunov function with an indefinite time derivative, and the discrete dynamics are destabilizing, the impulsive system is ISS if an average dwell-time (ADT) condition is satisfying. Numerical examples show their effectiveness and advantages. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：343 / 351

页数：9