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Pré-Publication, Document De Travail Année : 2012

A Hurwitz Like Characterization of GUAS Planar Switched System

Résumé

This paper deals with the stability problem for the planar linear switched system x'(t)=u(t)A1 x(t)+(1−u(t))A2 x(t) , x=(x1, x2) in R^2 where the real matrices A1, A2 in R^2 are Hurwitz and for t>0 u(t) in {0, 1} is a measurable function. We give a Hurwitz like characterization of globally uniformly asymptotically stable planar switched systems. Another contribution of this paper is a practical version of the main result in [NS] using real algebraic geometry tools. This new approach give a Hurwitz like characterization of switched systems which share a same strict or large common quadratic Lyapunov function and simplify the main result in [BBM].
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Dates et versions

hal-00733053 , version 1 (17-09-2012)

Identifiants

  • HAL Id : hal-00733053 , version 1

Citer

Moussa Baldé, Daouda Niang Diatta, Aminata Dite Tanti Keita. A Hurwitz Like Characterization of GUAS Planar Switched System. 2012. ⟨hal-00733053⟩

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