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

?? In this work we consider a class of polytopes of third order squarematrices, studied early. We obtain a condition to guarantee Hurwitzstability of each of elements of the polytope. This condition is moresimples than one obtained before. Taking into account that to theconsidered set of matrices co...

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Main Authors: V?zquez Silva, Efr?n, Monteiro Chissoca Chitungo, Celso
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/309
http://hdl.handle.net/10669/12967
Summary: ?? In this work we consider a class of polytopes of third order squarematrices, studied early. We obtain a condition to guarantee Hurwitzstability of each of elements of the polytope. This condition is moresimples than one obtained before. Taking into account that to theconsidered set of matrices correspond a family of perturbed sys-tems of differential equations, we study the relationship between thestability condition and the magnitude of the class of perturbationsconsidered for this family.