Minimal set of generators of controllability space for singular linear dynamical systems

Due to the significant role played by singular systems in the form E ¿ x ( t ) = Ax ( t ) , on mathematical modeling of science and engineering problems; in the last years recent years its interest in the descriptive analysis of its structural and dynamic properties. However, much less effort has be...

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Detalles Bibliográficos
Autor: García Planas, María Isabel|||0000-0001-7418-7208
Tipo de recurso: artículo
Fecha de publicación:2018
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:2117/116168
Acceso en línea:https://hdl.handle.net/2117/116168
Access Level:acceso abierto
Palabra clave:Linear systems
Algebra
Controllability
exact controllability
eigenvalues
eigenvectors
singular linear systems
Equacions diferencials parcials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
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oai_identifier_str oai:upcommons.upc.edu:2117/116168
network_acronym_str ES
network_name_str España
repository_id_str
spelling Minimal set of generators of controllability space for singular linear dynamical systemsGarcía Planas, María Isabel|||0000-0001-7418-7208Linear systemsAlgebraControllabilityexact controllabilityeigenvalueseigenvectorssingular linear systemsEquacions diferencials parcialsÀlgebra linealÀrees temàtiques de la UPC::Matemàtiques i estadísticaDue to the significant role played by singular systems in the form E ¿ x ( t ) = Ax ( t ) , on mathematical modeling of science and engineering problems; in the last years recent years its interest in the descriptive analysis of its structural and dynamic properties. However, much less effort has been devoted to studying the exact con- trollability by measuring the minimum set of controls needed to direct the entire system E ¿ x ( t ) = Ax ( t ) to any desired state. In this work, we focus the study on obtaining the set of all matrices B with a minimal number of columns, by making the singular system E ¿ x ( t ) = Ax ( t ) + Bu ( t ) controllable.WSEAS Press20182018-03-0120182018-04-11journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/116168reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1161682026-05-27T15:37:01Z
dc.title.none.fl_str_mv Minimal set of generators of controllability space for singular linear dynamical systems
title Minimal set of generators of controllability space for singular linear dynamical systems
spellingShingle Minimal set of generators of controllability space for singular linear dynamical systems
García Planas, María Isabel|||0000-0001-7418-7208
Linear systems
Algebra
Controllability
exact controllability
eigenvalues
eigenvectors
singular linear systems
Equacions diferencials parcials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Minimal set of generators of controllability space for singular linear dynamical systems
title_full Minimal set of generators of controllability space for singular linear dynamical systems
title_fullStr Minimal set of generators of controllability space for singular linear dynamical systems
title_full_unstemmed Minimal set of generators of controllability space for singular linear dynamical systems
title_sort Minimal set of generators of controllability space for singular linear dynamical systems
dc.creator.none.fl_str_mv García Planas, María Isabel|||0000-0001-7418-7208
author García Planas, María Isabel|||0000-0001-7418-7208
author_facet García Planas, María Isabel|||0000-0001-7418-7208
author_role author
dc.subject.none.fl_str_mv Linear systems
Algebra
Controllability
exact controllability
eigenvalues
eigenvectors
singular linear systems
Equacions diferencials parcials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Linear systems
Algebra
Controllability
exact controllability
eigenvalues
eigenvectors
singular linear systems
Equacions diferencials parcials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
description Due to the significant role played by singular systems in the form E ¿ x ( t ) = Ax ( t ) , on mathematical modeling of science and engineering problems; in the last years recent years its interest in the descriptive analysis of its structural and dynamic properties. However, much less effort has been devoted to studying the exact con- trollability by measuring the minimum set of controls needed to direct the entire system E ¿ x ( t ) = Ax ( t ) to any desired state. In this work, we focus the study on obtaining the set of all matrices B with a minimal number of columns, by making the singular system E ¿ x ( t ) = Ax ( t ) + Bu ( t ) controllable.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-03-01
2018
2018-04-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/116168
url https://hdl.handle.net/2117/116168
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 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/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 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv WSEAS Press
publisher.none.fl_str_mv WSEAS Press
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_ 1869425040054812673
score 15.301603

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