Author's: EFRÉN VÃZQUEZ SILVA and ROSA ISABEL URQUIZA SALGADO
Pages: [141] - [162]
Received Date: February 5, 2013
Submitted by:
In this paper, we study the stability properties of the perturbed
family when
is a Hurwitz-stable matrix,
are given matrices specifying the structure
of the perturbation,
represents the uncertainty of the
perturbation; applying a theorem proved by Barabanov (see [1]). We
obtain the explicit expressions for the so called auxiliary
Barabanov’s systems. We also state a way in order to find the
stability radius of the perturbed matrix A.
perturbed systems of linear differential equations, asymptotic stability of the solutions, stability radius.