Regularity of the Brunovsky-Kronecker stratification

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Title:	Regularity of the Brunovsky-Kronecker stratification
Author:	Ferrer Llop, Josep; García Planas, María Isabel; Puerta Sales, Ferran
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We study the partition of the set of pairs of matrices according to the Brunovsky- Kronecker type. We show that it is a constructible stratification, and that it is Whitney regular when the second matrix is a column matrix. We give an application to the obtention of bifurcation diagrams for few-parameter generic families of linear systems.
Subject(s):	-System theory -Algebras, Linear -Multilinear algebra -Matrices -Linear system -smooth family -versal deformation -transversality -stratification -bifurcation -Sistemes, Teoria de -Àlgebra lineal -Àlgebra multilineal -Matriu S, Teoria -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure -Classificació AMS::15 Linear and multilinear algebra; matrix theory
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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