(A, B)-invariant polyhedral sets of linear discrete-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://www.repositorio.ufba.br/ri/handle/ri/7967
Resumo: Texto completo: acesso restrito. p.521-542
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spelling Dorea, Carlos Eduardo TrabucoHennet, J. C.Dorea, Carlos Eduardo TrabucoHennet, J. C.2013-01-17T11:00:58Z19990022-3239http://www.repositorio.ufba.br/ri/handle/ri/7967v. 103, n. 3Texto completo: acesso restrito. p.521-542The problem of confining the trajectory of a linear discrete-time system in a given polyhedral domain is addressed through the concept of (A, B)-invariance. First, an explicit characterization of (A, B)-invariance of convex polyhedra is proposed. Such characterization amounts to necessary and sufficient conditions in the form of linear matrix relations and presents two major advantages compared to the ones found in the literature: it applies to any convex polyhedron and does not require the computation of vertices. Such advantages are felt particularly in the computation of the supremal (A, B)-invariant set included in a given polyhedron, for which a numerical method is proposed. The problem of computing a control law which forces the system trajectories to evolve inside an (A, B)-invariant polyhedron is treated as well. Finally, the (A, B)-invariance relations are generalized to persistently disturbed systems.Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2013-01-17T11:00:58Z No. of bitstreams: 1 Dórea.pdf: 841373 bytes, checksum: fd19a67024105927ec8080b9194529d2 (MD5)Made available in DSpace on 2013-01-17T11:00:58Z (GMT). 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dc.title.pt_BR.fl_str_mv (A, B)-invariant polyhedral sets of linear discrete-time systems
dc.title.alternative.pt_BR.fl_str_mv Journal of Optimization Theory and Applications
title (A, B)-invariant polyhedral sets of linear discrete-time systems
spellingShingle (A, B)-invariant polyhedral sets of linear discrete-time systems
Dorea, Carlos Eduardo Trabuco
Linear systems
linear programming
convexity
polyhedra
invariance
title_short (A, B)-invariant polyhedral sets of linear discrete-time systems
title_full (A, B)-invariant polyhedral sets of linear discrete-time systems
title_fullStr (A, B)-invariant polyhedral sets of linear discrete-time systems
title_full_unstemmed (A, B)-invariant polyhedral sets of linear discrete-time systems
title_sort (A, B)-invariant polyhedral sets of linear discrete-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 Linear systems
linear programming
convexity
polyhedra
invariance
topic Linear systems
linear programming
convexity
polyhedra
invariance
description Texto completo: acesso restrito. p.521-542
publishDate 1999
dc.date.issued.fl_str_mv 1999
dc.date.accessioned.fl_str_mv 2013-01-17T11:00:58Z
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://www.repositorio.ufba.br/ri/handle/ri/7967
dc.identifier.issn.none.fl_str_mv 0022-3239
dc.identifier.number.pt_BR.fl_str_mv v. 103, n. 3
identifier_str_mv 0022-3239
v. 103, n. 3
url http://www.repositorio.ufba.br/ri/handle/ri/7967
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.source.pt_BR.fl_str_mv http://dx.doi.org/10.1023/A:1021727806358
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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instname_str Universidade Federal da Bahia (UFBA)
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collection Repositório Institucional da UFBA
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