Stability of linear systems with slow and fast time variation and switching

被引：0

作者：

Liberzon, Daniel ^{[1
]}

Shim, Hyungbo ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Elect & Comp Engn, Seoul, South Korea

来源：

2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC) | 2022年

基金：

新加坡国家研究基金会;

关键词：

Switched systems; time-varying systems; stability of linear systems;

D O I：

10.1109/CDC51059.2022.9992853

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish exponential stability for a class of linear systems with slow and fast time variation and switching. We use the averaging method to approximate the original system by the average system which only exhibits slow time variation and switching. We then apply a stability criterion recently developed for such systems to prove stability of the average system and, consequently, of the original system.

引用

页码：674 / 678

页数：5

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