On the robustness of homogeneous systems and a homogeneous small gain theorem

被引：0

作者：

Bernuau, Emmanuel ^{[1
]}

Efimov, Denis ^{[2
,3
]}

Perruquetti, Wilfrid ^{[2
,3
]}

机构：

[1] Ecole Cent Nantes, UMR CNRS 6597, IRCCyN, F-44300 Nantes, France

[2] Parc Sci Haute Borne, Non A Team INRIALNE, F-59650 Villeneuve Dascq, France

[3] Ecole Cent Lille, LAGIS UMR CNRS 8219, F-59651 Villeneuve Dascq, France

来源：

2014 IEEE CONFERENCE ON CONTROL APPLICATIONS (CCA) | 2014年

关键词：

DISSIPATIVE DYNAMICAL-SYSTEMS; NONLINEAR-SYSTEMS; STATE STABILITY; INPUT-OUTPUT; STABILIZATION; ISS;

D O I：

暂无

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 is devoted to the study of the robustness properties stemming from geometric homogeneity. More precisely, we show that a continuous homogeneous system, which is asymptotically stable without perturbation, is always ISS w.r.t. a perturbation. We characterize the asymptotic gain of such a disturbed system and state a so-called homogeneous small gain theorem based on this estimation.

引用

页码：929 / 934

页数：6

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