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
收藏
页码：343 / 351
页数：9
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