Controllability of $\ell$-order linear systems

Given a (` + 1)-ple of matrices (A`¡1; : : : ;A0;B) representing `- order time-invariant linear systems, x(`) = A`¡1x(`¡1) + : : : + A0x(0) + Bu, we analyze conditions in such a way that changing the control u by u1 = u ¡ F`x(`) ¡ : : : F0x(0) the system obtained has a stable solution.

Detalhes bibliográficos
Autor: García Planas, María Isabel|||0000-0001-7418-7208
Formato: artículo
Fecha de publicación:2003
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/871
Acesso em linha:https://hdl.handle.net/2117/871
Access Level:acceso abierto
Palavra-chave:Algebras, Linear
Multilinear algebra
Matrices
System theory
High-order linear systems
linearization
feedback
controllability
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Sistemes, Teoria de
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
id ES_01d72ff94d1b52c9fe33ced1d2ef21bb
oai_identifier_str oai:upcommons.upc.edu:2117/871
network_acronym_str ES
network_name_str España
repository_id_str
spelling Controllability of $\ell$-order linear systemsGarcía Planas, María Isabel|||0000-0001-7418-7208Algebras, LinearMultilinear algebraMatricesSystem theoryHigh-order linear systemslinearizationfeedbackcontrollabilityÀlgebra linealÀlgebra multilinealMatriu S, TeoriaSistemes, Teoria deClassificació AMS::15 Linear and multilinear algebramatrix theoryClassificació AMS::93 Systems TheoryControl::93B Controllability, observability, and system structureGiven a (` + 1)-ple of matrices (A`¡1; : : : ;A0;B) representing `- order time-invariant linear systems, x(`) = A`¡1x(`¡1) + : : : + A0x(0) + Bu, we analyze conditions in such a way that changing the control u by u1 = u ¡ F`x(`) ¡ : : : F0x(0) the system obtained has a stable solution.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/2117/871reponame: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:2117/8712026-05-27T15:37:01Z
dc.title.none.fl_str_mv Controllability of $\ell$-order linear systems
title Controllability of $\ell$-order linear systems
spellingShingle Controllability of $\ell$-order linear systems
García Planas, María Isabel|||0000-0001-7418-7208
Algebras, Linear
Multilinear algebra
Matrices
System theory
High-order linear systems
linearization
feedback
controllability
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Sistemes, Teoria de
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
title_short Controllability of $\ell$-order linear systems
title_full Controllability of $\ell$-order linear systems
title_fullStr Controllability of $\ell$-order linear systems
title_full_unstemmed Controllability of $\ell$-order linear systems
title_sort Controllability of $\ell$-order linear 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 Algebras, Linear
Multilinear algebra
Matrices
System theory
High-order linear systems
linearization
feedback
controllability
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Sistemes, Teoria de
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
topic Algebras, Linear
Multilinear algebra
Matrices
System theory
High-order linear systems
linearization
feedback
controllability
Àlgebra lineal
Àlgebra multilineal
Matriu S, Teoria
Sistemes, Teoria de
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Classificació AMS::93 Systems Theory
Control::93B Controllability, observability, and system structure
description Given a (` + 1)-ple of matrices (A`¡1; : : : ;A0;B) representing `- order time-invariant linear systems, x(`) = A`¡1x(`¡1) + : : : + A0x(0) + Bu, we analyze conditions in such a way that changing the control u by u1 = u ¡ F`x(`) ¡ : : : F0x(0) the system obtained has a stable solution.
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/2117/871
url https://hdl.handle.net/2117/871
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_ 1869402612868055040
score 15.300724