Criterion for robustness of global asymptotic stability to external perturbations of linear time-varying systems

被引：4

作者：

Vrabel, R. ^{[1
]}

机构：

[1] Slovak Univ Technol Bratislava, Inst Appl Informat Automat & Mechatron, Trnava, Slovakia

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2021年 / 50卷 / 02期

关键词：

Linear time-varying system; perturbation; robust global asymptotic stability; logarithmic norm;

D O I：

10.1080/03081079.2020.1870223

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we establish a new criterion for robustness of global asymptotic stability of zero solution of LTV system (x) over dot = A(t) x in the presence of external perturbations (disturbances). To prove the result, logarithmic norm will be used under which the stability becomes a topological notion depending on the chosen vector norm in the state-space R-n.

引用

页码：211 / 222

页数：12

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