Geometric conditions for regularity in a time-minimum problem with constant dynamics

Detalhes bibliográficos
Autor(a) principal: Goncharov, Vladimir
Data de Publicação: 2012
Outros Autores: Pereira, Fátima
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/7307
Resumo: Continuing the earlier research on local well-posedness of a time-minimum problem associated to a closed target set C in a Hilbert space H and a convex constant dynamics F we study the Lipschitz (or, in general, Hölder) regularity of the (unique) point in C achieved from x for a minimal time. As a consequence, smoothness of the value function is proved, and an explicit formula for its derivative is given.
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spelling Geometric conditions for regularity in a time-minimum problem with constant dynamicstime-minimum problemHölder continuityproximal, Fréchet and Clarke subdifferentialsduality mappingcurvatureproximal smoothnessContinuing the earlier research on local well-posedness of a time-minimum problem associated to a closed target set C in a Hilbert space H and a convex constant dynamics F we study the Lipschitz (or, in general, Hölder) regularity of the (unique) point in C achieved from x for a minimal time. As a consequence, smoothness of the value function is proved, and an explicit formula for its derivative is given.Journal of Convex Analysis2013-01-15T15:40:21Z2013-01-152012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/7307http://hdl.handle.net/10174/7307eng19Journal of Convex Analysis3goncha@uevora.ptfmfp@uevora.pt631-669334Goncharov, VladimirPereira, Fátimainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:47:30Zoai:dspace.uevora.pt:10174/7307Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:53.366816Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Geometric conditions for regularity in a time-minimum problem with constant dynamics
title Geometric conditions for regularity in a time-minimum problem with constant dynamics
spellingShingle Geometric conditions for regularity in a time-minimum problem with constant dynamics
Goncharov, Vladimir
time-minimum problem
Hölder continuity
proximal, Fréchet and Clarke subdifferentials
duality mapping
curvature
proximal smoothness
title_short Geometric conditions for regularity in a time-minimum problem with constant dynamics
title_full Geometric conditions for regularity in a time-minimum problem with constant dynamics
title_fullStr Geometric conditions for regularity in a time-minimum problem with constant dynamics
title_full_unstemmed Geometric conditions for regularity in a time-minimum problem with constant dynamics
title_sort Geometric conditions for regularity in a time-minimum problem with constant dynamics
author Goncharov, Vladimir
author_facet Goncharov, Vladimir
Pereira, Fátima
author_role author
author2 Pereira, Fátima
author2_role author
dc.contributor.author.fl_str_mv Goncharov, Vladimir
Pereira, Fátima
dc.subject.por.fl_str_mv time-minimum problem
Hölder continuity
proximal, Fréchet and Clarke subdifferentials
duality mapping
curvature
proximal smoothness
topic time-minimum problem
Hölder continuity
proximal, Fréchet and Clarke subdifferentials
duality mapping
curvature
proximal smoothness
description Continuing the earlier research on local well-posedness of a time-minimum problem associated to a closed target set C in a Hilbert space H and a convex constant dynamics F we study the Lipschitz (or, in general, Hölder) regularity of the (unique) point in C achieved from x for a minimal time. As a consequence, smoothness of the value function is proved, and an explicit formula for its derivative is given.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01T00:00:00Z
2013-01-15T15:40:21Z
2013-01-15
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://hdl.handle.net/10174/7307
http://hdl.handle.net/10174/7307
url http://hdl.handle.net/10174/7307
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 19
Journal of Convex Analysis
3
goncha@uevora.pt
fmfp@uevora.pt
631-669
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Journal of Convex Analysis
publisher.none.fl_str_mv Journal of Convex Analysis
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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