Miniversal deformations of observable marked matrices

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/24071

Title:	Miniversal deformations of observable marked matrices
Author:	Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta
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:	Given the set of vertical pairs of matrices ${\cal M}\subset M_{m,n}(\mathbb C)\times M_n(\mathbb C)$ keeping the subspace $\mathbb C^d\times\{0\}\subset\mathbb C^n$ invariant,we compute miniversal deformations of a given pair when it is observable, and the subspace $\mathbb C^d\times\{0\}$ is marked. Moreover, we obtain the dimension of the orbit, characterize the structurally stable vertical pairs, and study the effect of each deformation parameter. Copyright © 2013 JohnWiley & Sons, Ltd.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Matrices -conditioned invariant subspaces -miniversal deformation -stratified manifold -vertical pairs of matrices -Matrius (Matemàtica)
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
Share: