Well-posedness of minimal time problems with constant dynamics in Banach spaces
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/2492 |
Resumo: | This paper concerns the study of a general minimal time problem with a convex constant dynamics and a closed target set in Banach spaces. We pay the main attention to deriving sufficient conditions for the major well-posedness properties that include the existence and uniqueness of optimal solutions as well as certain regularity of the optimal value function with respect to state variables. Most of the results obtained are new even in finite-dimensional spaces. Our approach is based on advanced tools of variational analysis and generalized differentiation. |
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Well-posedness of minimal time problems with constant dynamics in Banach spacesMinimal time functionMinimal time projectionVariational AnalysisGeneralized differentiationThis paper concerns the study of a general minimal time problem with a convex constant dynamics and a closed target set in Banach spaces. We pay the main attention to deriving sufficient conditions for the major well-posedness properties that include the existence and uniqueness of optimal solutions as well as certain regularity of the optimal value function with respect to state variables. Most of the results obtained are new even in finite-dimensional spaces. Our approach is based on advanced tools of variational analysis and generalized differentiation.Springer2011-01-24T16:37:04Z2011-01-242010-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article254683 bytesapplication/pdfhttp://hdl.handle.net/10174/2492http://hdl.handle.net/10174/2492engpag 349-3721877-053318Set-Valued and Variational Analysis3-4livrecolombo@math.unipd.itgoncha@uevora.ptboris@math.wayne.edu334Colombo, GiovanniGoncharov, VladimirMordukhovich, Borisinfo: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:RCAAP2024-01-03T18:39:02Zoai:dspace.uevora.pt:10174/2492Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:58:12.054821Repositório 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 |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
title |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
spellingShingle |
Well-posedness of minimal time problems with constant dynamics in Banach spaces Colombo, Giovanni Minimal time function Minimal time projection Variational Analysis Generalized differentiation |
title_short |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
title_full |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
title_fullStr |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
title_full_unstemmed |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
title_sort |
Well-posedness of minimal time problems with constant dynamics in Banach spaces |
author |
Colombo, Giovanni |
author_facet |
Colombo, Giovanni Goncharov, Vladimir Mordukhovich, Boris |
author_role |
author |
author2 |
Goncharov, Vladimir Mordukhovich, Boris |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Colombo, Giovanni Goncharov, Vladimir Mordukhovich, Boris |
dc.subject.por.fl_str_mv |
Minimal time function Minimal time projection Variational Analysis Generalized differentiation |
topic |
Minimal time function Minimal time projection Variational Analysis Generalized differentiation |
description |
This paper concerns the study of a general minimal time problem with a convex constant dynamics and a closed target set in Banach spaces. We pay the main attention to deriving sufficient conditions for the major well-posedness properties that include the existence and uniqueness of optimal solutions as well as certain regularity of the optimal value function with respect to state variables. Most of the results obtained are new even in finite-dimensional spaces. Our approach is based on advanced tools of variational analysis and generalized differentiation. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-12-01T00:00:00Z 2011-01-24T16:37:04Z 2011-01-24 |
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/10174/2492 http://hdl.handle.net/10174/2492 |
url |
http://hdl.handle.net/10174/2492 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
pag 349-372 1877-0533 18 Set-Valued and Variational Analysis 3-4 livre colombo@math.unipd.it goncha@uevora.pt boris@math.wayne.edu 334 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
254683 bytes application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
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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 |
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1799136465195630592 |