On the parametrization of the controllability subspaces of a controllable pair

Given a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erenc...

Descripción completa

Detalles Bibliográficos
Autores: Puerta Sales, Ferran, Puerta Coll, Xavier, Zaballa, Ion
Tipo de recurso: artículo
Fecha de publicación:2003
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:2117/867
Acceso en línea:https://hdl.handle.net/2117/867
Access Level:acceso abierto
Palabra clave:System theory
Algebras, Linear
Multilinear algebra
Matrices
parametrization
controllable pair
controllability subspaces
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
id ES_b2ab67364d87e1dfbd17bb3d68bddae4
oai_identifier_str oai:upcommons.upc.edu:2117/867
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the parametrization of the controllability subspaces of a controllable pairPuerta Sales, FerranPuerta Coll, XavierZaballa, IonSystem theoryAlgebras, LinearMultilinear algebraMatricesparametrizationcontrollable paircontrollability subspacesSistemes, Teoria deÀlgebra linealÀlgebra multilinealMatriu S, TeoriaClassificació AMS::93 Systems TheoryControl::93B Controllability, observability, and system structureClassificació AMS::15 Linear and multilinear algebramatrix theoryGiven a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erences to that of (A;B) invariant subspaces, showing a more complex geometric structure.20032003-01-0120072007-05-04journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/867reponame: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:2117/8672026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the parametrization of the controllability subspaces of a controllable pair
title On the parametrization of the controllability subspaces of a controllable pair
spellingShingle On the parametrization of the controllability subspaces of a controllable pair
Puerta Sales, Ferran
System theory
Algebras, Linear
Multilinear algebra
Matrices
parametrization
controllable pair
controllability subspaces
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
title_short On the parametrization of the controllability subspaces of a controllable pair
title_full On the parametrization of the controllability subspaces of a controllable pair
title_fullStr On the parametrization of the controllability subspaces of a controllable pair
title_full_unstemmed On the parametrization of the controllability subspaces of a controllable pair
title_sort On the parametrization of the controllability subspaces of a controllable pair
dc.creator.none.fl_str_mv Puerta Sales, Ferran
Puerta Coll, Xavier
Zaballa, Ion
author Puerta Sales, Ferran
author_facet Puerta Sales, Ferran
Puerta Coll, Xavier
Zaballa, Ion
author_role author
author2 Puerta Coll, Xavier
Zaballa, Ion
author2_role author
author
dc.subject.none.fl_str_mv System theory
Algebras, Linear
Multilinear algebra
Matrices
parametrization
controllable pair
controllability subspaces
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
topic System theory
Algebras, Linear
Multilinear algebra
Matrices
parametrization
controllable pair
controllability subspaces
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
description Given a controllable linear control system defined by a pair of constant matrices (A;B), the set of controllability subspaces is an stratified submanifold of the set of (A;B)-invariant subspaces. We parameterize each strata by means of coordinate charts. This parametrization has significant di®erences to that of (A;B) invariant subspaces, showing a more complex geometric structure.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01
2007
2007-05-04
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/2117/867
url https://hdl.handle.net/2117/867
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_ 1869417074425593856
score 15,300724

Similares en LA Referencia