Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization

Autores
Haimovich, Hernan; Osella, Esteban Nahuel
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This technical note presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controller-driven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability).
Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Osella, Esteban Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Materia
Controllability
Eigenvector Assignment
Subspace-Valued Maps
Continuity
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/15245
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/15245
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilizationHaimovich, HernanOsella, Esteban NahuelControllabilityEigenvector AssignmentSubspace-Valued MapsContinuityhttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2This technical note presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controller-driven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability).Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Osella, Esteban Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaInstitute Of Electrical And Electronics Engineers2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15245Haimovich, Hernan; Osella, Esteban Nahuel; Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization; Institute Of Electrical And Electronics Engineers; Ieee Transactions On Automatic Control; 61; 1; -1-2015; 276-2810018-92861558-2523enginfo:eu-repo/semantics/altIdentifier/doi/10.1109/TAC.2015.2434072info:eu-repo/semantics/altIdentifier/url/http://ieeexplore.ieee.org/document/7109142/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:50:03Zoai:ri.conicet.gov.ar:11336/15245instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:50:03.371CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
title Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
spellingShingle Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
Haimovich, Hernan
Controllability
Eigenvector Assignment
Subspace-Valued Maps
Continuity
title_short Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
title_full Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
title_fullStr Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
title_full_unstemmed Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
title_sort Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization
dc.creator.none.fl_str_mv Haimovich, Hernan
Osella, Esteban Nahuel
author Haimovich, Hernan
author_facet Haimovich, Hernan
Osella, Esteban Nahuel
author_role author
author2 Osella, Esteban Nahuel
author2_role author
dc.subject.none.fl_str_mv Controllability
Eigenvector Assignment
Subspace-Valued Maps
Continuity
topic Controllability
Eigenvector Assignment
Subspace-Valued Maps
Continuity
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv This technical note presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controller-driven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability).
Fil: Haimovich, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Osella, Esteban Nahuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Rosario. Centro Internacional Franco Argentino de Ciencias de la Información y Sistemas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
description This technical note presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controller-driven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability).
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/15245
Haimovich, Hernan; Osella, Esteban Nahuel; Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization; Institute Of Electrical And Electronics Engineers; Ieee Transactions On Automatic Control; 61; 1; -1-2015; 276-281
0018-9286
1558-2523
url http://hdl.handle.net/11336/15245
identifier_str_mv Haimovich, Hernan; Osella, Esteban Nahuel; Characterization of controllability based on continuity of closed-loop eigenvectors: application to controller-driven sampling stabilization; Institute Of Electrical And Electronics Engineers; Ieee Transactions On Automatic Control; 61; 1; -1-2015; 276-281
0018-9286
1558-2523
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1109/TAC.2015.2434072
info:eu-repo/semantics/altIdentifier/url/http://ieeexplore.ieee.org/document/7109142/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute Of Electrical And Electronics Engineers
publisher.none.fl_str_mv Institute Of Electrical And Electronics Engineers
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1848598098391072768
score 13.142177

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