Well-posedness of minimal time problems with constant dynamics in Banach spaces

Detalhes bibliográficos
Autor(a) principal: Colombo, Giovanni
Data de Publicação: 2010
Outros Autores: Goncharov, Vladimir, Mordukhovich, Boris
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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spelling 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 reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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