Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems

Detalhes bibliográficos
Autor(a) principal: Castelan,Eugênio B.
Data de Publicação: 2003
Outros Autores: Tarbouriech,Sophie
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Sba: Controle & Automação Sociedade Brasileira de Automatica
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400001
Resumo: In this paper, necessary and sufficient conditions for the positive invariance of convex polyhedra with respect to linear discrete-time singular systems subject to bounded additive disturbances are established. New notions of delta-invariance under different assumptions on the initial conditions are defined. Specifically, the notions of simple and weak delta-invariance are considered. They can be seen as extensions of the delta-positive invariance concept used for the regular linear systems with additive disturbances. The results are presented by considering classical equivalent system representations for linear singular systems.
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spelling Simple and weak delta-invariant psolyhedral sets for discrete-time singular systemsSingular systemsDisturbancesConvex polyhedraInvarianceInitial conditionsIn this paper, necessary and sufficient conditions for the positive invariance of convex polyhedra with respect to linear discrete-time singular systems subject to bounded additive disturbances are established. New notions of delta-invariance under different assumptions on the initial conditions are defined. Specifically, the notions of simple and weak delta-invariance are considered. They can be seen as extensions of the delta-positive invariance concept used for the regular linear systems with additive disturbances. The results are presented by considering classical equivalent system representations for linear singular systems.Sociedade Brasileira de Automática2003-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400001Sba: Controle & Automação Sociedade Brasileira de Automatica v.14 n.4 2003reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592003000400001info:eu-repo/semantics/openAccessCastelan,Eugênio B.Tarbouriech,Sophieeng2004-04-19T00:00:00Zoai:scielo:S0103-17592003000400001Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2004-04-19T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false
dc.title.none.fl_str_mv Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
title Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
spellingShingle Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
Castelan,Eugênio B.
Singular systems
Disturbances
Convex polyhedra
Invariance
Initial conditions
title_short Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
title_full Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
title_fullStr Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
title_full_unstemmed Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
title_sort Simple and weak delta-invariant psolyhedral sets for discrete-time singular systems
author Castelan,Eugênio B.
author_facet Castelan,Eugênio B.
Tarbouriech,Sophie
author_role author
author2 Tarbouriech,Sophie
author2_role author
dc.contributor.author.fl_str_mv Castelan,Eugênio B.
Tarbouriech,Sophie
dc.subject.por.fl_str_mv Singular systems
Disturbances
Convex polyhedra
Invariance
Initial conditions
topic Singular systems
Disturbances
Convex polyhedra
Invariance
Initial conditions
description In this paper, necessary and sufficient conditions for the positive invariance of convex polyhedra with respect to linear discrete-time singular systems subject to bounded additive disturbances are established. New notions of delta-invariance under different assumptions on the initial conditions are defined. Specifically, the notions of simple and weak delta-invariance are considered. They can be seen as extensions of the delta-positive invariance concept used for the regular linear systems with additive disturbances. The results are presented by considering classical equivalent system representations for linear singular systems.
publishDate 2003
dc.date.none.fl_str_mv 2003-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400001
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-17592003000400001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Automática
publisher.none.fl_str_mv Sociedade Brasileira de Automática
dc.source.none.fl_str_mv Sba: Controle & Automação Sociedade Brasileira de Automatica v.14 n.4 2003
reponame:Sba: Controle & Automação Sociedade Brasileira de Automatica
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collection Sba: Controle & Automação Sociedade Brasileira de Automatica
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repository.mail.fl_str_mv ||revista_sba@fee.unicamp.br
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