Optimal control with time delays via the penalty method

Detalhes bibliográficos
Autor(a) principal: Benharrat, M.
Data de Publicação: 2014
Outros Autores: Torres, D. F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/14640
Resumo: We prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative. Then, a more general optimal control problem with time delays is considered. Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.
id RCAP_bdcaa341d9e3ca83ce3a898d05798fc7
oai_identifier_str oai:ria.ua.pt:10773/14640
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Optimal control with time delays via the penalty methodCalculationsConstrained optimizationOptimal control systemsCalculus of variationsConvergence theoremEuler-LagrangeNecessary optimality conditionOptimal control problemOptimal controlsPenalty methodsTime delayWe prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative. Then, a more general optimal control problem with time delays is considered. Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.Hindawi Publishing Corporation2015-09-15T15:23:29Z2014-01-01T00:00:00Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/14640eng1024-123X10.1155/2014/250419Benharrat, M.Torres, D. F. M.info: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:RCAAP2024-02-22T11:26:49Zoai:ria.ua.pt:10773/14640Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:11.587247Repositório 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 Optimal control with time delays via the penalty method
title Optimal control with time delays via the penalty method
spellingShingle Optimal control with time delays via the penalty method
Benharrat, M.
Calculations
Constrained optimization
Optimal control systems
Calculus of variations
Convergence theorem
Euler-Lagrange
Necessary optimality condition
Optimal control problem
Optimal controls
Penalty methods
Time delay
title_short Optimal control with time delays via the penalty method
title_full Optimal control with time delays via the penalty method
title_fullStr Optimal control with time delays via the penalty method
title_full_unstemmed Optimal control with time delays via the penalty method
title_sort Optimal control with time delays via the penalty method
author Benharrat, M.
author_facet Benharrat, M.
Torres, D. F. M.
author_role author
author2 Torres, D. F. M.
author2_role author
dc.contributor.author.fl_str_mv Benharrat, M.
Torres, D. F. M.
dc.subject.por.fl_str_mv Calculations
Constrained optimization
Optimal control systems
Calculus of variations
Convergence theorem
Euler-Lagrange
Necessary optimality condition
Optimal control problem
Optimal controls
Penalty methods
Time delay
topic Calculations
Constrained optimization
Optimal control systems
Calculus of variations
Convergence theorem
Euler-Lagrange
Necessary optimality condition
Optimal control problem
Optimal controls
Penalty methods
Time delay
description We prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative. Then, a more general optimal control problem with time delays is considered. Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01T00:00:00Z
2014
2015-09-15T15:23:29Z
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/10773/14640
url http://hdl.handle.net/10773/14640
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1024-123X
10.1155/2014/250419
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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
_version_ 1799137552249126912

Registros relacionados