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

 

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Autori: Vázquez Silva, Efrén, Monteiro Chissoca Chitungo, Celso
Natura: artículo original
Status:Versión publicada
Data di pubblicazione:2010
Descrizione: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.
Stato:Portal de Revistas UCR
Istituzione:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Lingua:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/309
Accesso online:https://revistas.ucr.ac.cr/index.php/matematica/article/view/309
Keyword:Polytope
Stability
Perturbation Norm
Politopo
Estabilidad
Norma de la perturbación