A note on stability conditions for planar switched systems

被引：59

作者：

Balde, Moussa ^{[2
]}

Boscain, Ugo ^{[3
]}

Mason, Paolo ^{[1
,4
]}

机构：

[1] CNR, Ist Applicaz Calcolo Mauro Picone, I-00161 Rome, Italy

[2] UCAD, Dept Math & Informat, LMDAN LGDA, Dakar, Senegal

[3] Ecole Polytech, CNRS, CMAP, F-91128 Palaiseau, France

[4] Univ Paris 11, CNRS, Signaux & Syst Lab, F-91192 Gif Sur Yvette, France

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2009年 / 82卷 / 10期

关键词：

planar switched systems; asymptotic stability; quadratic Lyapunov functions; LYAPUNOV FUNCTIONS; SUFFICIENT CONDITIONS; ABSOLUTE STABILITY;

D O I：

10.1080/00207170902802992

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 article is concerned with the stability problem for the planar linear switched system [image omitted], where the real matrices A1, A2 2x2 are Hurwitz and u(center dot) : [0, [ {0, 1} is a measurable function. We give coordinate-invariant necessary and sufficient conditions on A1 and A2 under which the system is asymptotically stable for arbitrary switching functions u(center dot). The new conditions unify those given in previous papers and are simpler to be verified since we reduced to study 4 cases instead of 20. Most of the cases are analysed in terms of the function [image omitted].

引用

页码：1882 / 1888

页数：7

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