(A, B)-Invariance conditions of polyhedral domains for continuous-time systems

Detalhes bibliográficos
Autor(a) principal: Dorea, Carlos Eduardo Trabuco
Data de Publicação: 1999
Outros Autores: Hennet, J. C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13838
Resumo: Texto completo. Acesso restrito. p. 70–81
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spelling Dorea, Carlos Eduardo TrabucoHennet, J. C.Dorea, Carlos Eduardo TrabucoHennet, J. C.2013-11-22T12:03:28Z19990947-3580http://repositorio.ufba.br/ri/handle/ri/13838v. 5, n. 1Texto completo. Acesso restrito. p. 70–81This paper provides an explicit characterisation of the (A,B)-invariance property of polyhedral sets with respect to linear continuous-time systems. A typical application of the concept of (A,B)-invariance is to investigate the possibility of controlling a system subject to pointwise in time trajectory constraints. Necessary and sufficient conditions for a polyhedron to be (A,B)-invariant are established in the form of linear matrix relations. Some particular conditions of existence of linear state feedback laws are also presented. The study of (A,B)-invariance of polyhedra is then extended to the control of constrained and additively disturbed systems.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-08-13T18:22:31Z No. of bitstreams: 1 444444444444444.pdf: 591776 bytes, checksum: 528038e4b6077f987c8a80c2b0727c7b (MD5)Approved for entry into archive by Rodrigo Meirelles (rodrigomei@ufba.br) on 2013-11-22T12:03:28Z (GMT) No. of bitstreams: 1 444444444444444.pdf: 591776 bytes, checksum: 528038e4b6077f987c8a80c2b0727c7b (MD5)Made available in DSpace on 2013-11-22T12:03:28Z (GMT). No. of bitstreams: 1 444444444444444.pdf: 591776 bytes, checksum: 528038e4b6077f987c8a80c2b0727c7b (MD5) Previous issue date: 1999SalvadorEuropean Journal of Controlhttp://dx.doi.org.ez10.periodicos.capes.gov.br/10.1016/S0947-3580(99)70141-Xreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBA(A,B)-invarianceConstrained systemsFeedback controlLinear systemsPositive invariance(A, B)-Invariance conditions of polyhedral domains for continuous-time systemsEuropean Journal of Controlinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengORIGINAL444444444444444.pdf444444444444444.pdfapplication/pdf591776https://repositorio.ufba.br/bitstream/ri/13838/1/444444444444444.pdf528038e4b6077f987c8a80c2b0727c7bMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/13838/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT444444444444444.pdf.txt444444444444444.pdf.txtExtracted texttext/plain12https://repositorio.ufba.br/bitstream/ri/13838/3/444444444444444.pdf.txt36c6f0b2061da514c400c0bc2749b5cfMD53ri/138382022-07-05 14:02:51.656oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:02:51Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
dc.title.alternative.pt_BR.fl_str_mv European Journal of Control
title (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
spellingShingle (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
Dorea, Carlos Eduardo Trabuco
(A,B)-invariance
Constrained systems
Feedback control
Linear systems
Positive invariance
title_short (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
title_full (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
title_fullStr (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
title_full_unstemmed (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
title_sort (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
author Dorea, Carlos Eduardo Trabuco
author_facet Dorea, Carlos Eduardo Trabuco
Hennet, J. C.
author_role author
author2 Hennet, J. C.
author2_role author
dc.contributor.author.fl_str_mv Dorea, Carlos Eduardo Trabuco
Hennet, J. C.
Dorea, Carlos Eduardo Trabuco
Hennet, J. C.
dc.subject.por.fl_str_mv (A,B)-invariance
Constrained systems
Feedback control
Linear systems
Positive invariance
topic (A,B)-invariance
Constrained systems
Feedback control
Linear systems
Positive invariance
description Texto completo. Acesso restrito. p. 70–81
publishDate 1999
dc.date.issued.fl_str_mv 1999
dc.date.accessioned.fl_str_mv 2013-11-22T12:03:28Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13838
dc.identifier.issn.none.fl_str_mv 0947-3580
dc.identifier.number.pt_BR.fl_str_mv v. 5, n. 1
identifier_str_mv 0947-3580
v. 5, n. 1
url http://repositorio.ufba.br/ri/handle/ri/13838
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv European Journal of Control
publisher.none.fl_str_mv European Journal of Control
dc.source.pt_BR.fl_str_mv http://dx.doi.org.ez10.periodicos.capes.gov.br/10.1016/S0947-3580(99)70141-X
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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reponame_str Repositório Institucional da UFBA
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