Sobre la estabilidad de ciertos sistemas perturbados de ecuaciones diferenciales y sus relaciones con la magnitud de la perturbación

In this work we consider a class of polytopes of third order square matrices, studied early. We obtain a condition to guarantee Hurwitz stability of each of elements of the polytope. This condition is more simples than one obtained before. Taking into account that to the considered set of matrices correspond a family of perturbed sys- tems of differential equations, we study the relationship between the stability condition and the magnitude of the class of perturbations considered for this family.