On the stability of certain perturbed systems of differential equations and the relationship with the magnitude of the perturbation

Abstract:

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 systems of differential equations, we study the relationship between the stability condition and the magnitude of the class of perturbations considered for this family.

Año de publicación:

2010

Keywords:

Fuente:

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