On robustness of finite-time stability of homogeneous affine nonlinear systems and cascade interconnections

被引：5

作者：

Braidiz, Youness ^{[1
,2
]}

Efimov, Denis ^{[2
,3
]}

Polyakov, Andrey ^{[2
,3
]}

Perruquetti, Wilfrid ^{[1
]}

机构：

[1] Univ Lille, Ecole Cent, CNRS, UMR 9189,CRIStAL, F-59000 Lille, France

[2] Univ Lille, INRIA, CNRS, UMR 9189,CRIStAL, F-59000 Lille, France

[3] ITMO Univ, St Petersburg, Russia

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2022年 / 95卷 / 03期

关键词：

Homogeneous systems; robustness; finite-time stability; STABILIZATION; OBSERVERS; DESIGN; IISS; ISS;

D O I：

10.1080/00207179.2020.1823017

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 investigates robustness of finite-time stability property for a homogeneous nonlinear dynamical system with sufficiently small affine inputs. In addition, robust stability conditions are presented for the systems admitting homogeneous approximations at the origin or at infinity. The effects of additional stable unmodeled dynamics in the input channel on robust stability are investigated. The utility of the obtained results is illustrated via robustness analysis of homogeneous observer with time-varying gains.

引用

页码：768 / 778

页数：11

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