Versal deformations in orbit spaces of matrices

Given an orbit space of matrices $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a minivesal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to...

Descripción completa

Detalles Bibliográficos
Autores: Puerta Sales, Ferran, Puerta Coll, Xavier, Tarragona Romero, Sonia
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/1231
Acceso en línea:https://hdl.handle.net/2117/1231
Access Level:acceso abierto
Palabra clave:System theory
Global analysis (Mathematics)
orbit spaces
Sistemes, Teoria de
Sistemes de control
Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Control::93C Control systems, guided systems
id ES_cf2083cc4eee6a96040be532210bc85e
oai_identifier_str oai:upcommons.upc.edu:2117/1231
network_acronym_str ES
network_name_str España
repository_id_str
spelling Versal deformations in orbit spaces of matricesPuerta Sales, FerranPuerta Coll, XavierTarragona Romero, SoniaSystem theoryGlobal analysis (Mathematics)orbit spacesSistemes, Teoria deSistemes de controlClassificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theoryClassificació AMS::93 Systems TheoryControl::93B Controllability, observability, and system structureClassificació AMS::93 Systems TheoryControl::93C Control systems, guided systemsGiven an orbit space of matrices $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a minivesal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to the perturbations of $m$-tuples of subspaces and $(C,A)$-invariant subspaces.20022002-01-0120072007-10-04journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/1231reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/12312026-05-27T15:37:01Z
dc.title.none.fl_str_mv Versal deformations in orbit spaces of matrices
title Versal deformations in orbit spaces of matrices
spellingShingle Versal deformations in orbit spaces of matrices
Puerta Sales, Ferran
System theory
Global analysis (Mathematics)
orbit spaces
Sistemes, Teoria de
Sistemes de control
Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
title_short Versal deformations in orbit spaces of matrices
title_full Versal deformations in orbit spaces of matrices
title_fullStr Versal deformations in orbit spaces of matrices
title_full_unstemmed Versal deformations in orbit spaces of matrices
title_sort Versal deformations in orbit spaces of matrices
dc.creator.none.fl_str_mv Puerta Sales, Ferran
Puerta Coll, Xavier
Tarragona Romero, Sonia
author Puerta Sales, Ferran
author_facet Puerta Sales, Ferran
Puerta Coll, Xavier
Tarragona Romero, Sonia
author_role author
author2 Puerta Coll, Xavier
Tarragona Romero, Sonia
author2_role author
author
dc.subject.none.fl_str_mv System theory
Global analysis (Mathematics)
orbit spaces
Sistemes, Teoria de
Sistemes de control
Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
topic System theory
Global analysis (Mathematics)
orbit spaces
Sistemes, Teoria de
Sistemes de control
Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
description Given an orbit space of matrices $M/\Gamma$ and an equivalence relation defined in it by means of the action of a group $G$, we obtain a miniversal deformation of an orbit through a minivesal deformation in $M$ with regard to a suitable group action of $G\times \Gamma$. We show some applications to the perturbations of $m$-tuples of subspaces and $(C,A)$-invariant subspaces.
publishDate 2002
dc.date.none.fl_str_mv 2002
2002-01-01
2007
2007-10-04
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/1231
url https://hdl.handle.net/2117/1231
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420054508994560
score 15,300719

Similares en LA Referencia