Fractional order optimal control problems with free terminal time

Detalhes bibliográficos
Autor(a) principal: Pooseh, S.
Data de Publicação: 2014
Outros Autores: Almeida, R., 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/10773/11880
Resumo: We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminal- time triplet to be optimal are obtained. Situations with constraints present at the end time are also considered. Under appropriate assumptions, it is shown that the obtained necessary optimality conditions become sufficient. Numer- ical methods to solve the problems are presented, and some computational simulations are discussed in detail.
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spelling Fractional order optimal control problems with free terminal timeFractional calculusFractional optimal controlFree-time problemNumerical approximationsOptimization and controlWe consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminal- time triplet to be optimal are obtained. Situations with constraints present at the end time are also considered. Under appropriate assumptions, it is shown that the obtained necessary optimality conditions become sufficient. Numer- ical methods to solve the problems are presented, and some computational simulations are discussed in detail.American Institute of Mathematical Sciences (AIMS)2014-02-21T15:49:55Z2014-01-01T00:00:00Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/11880eng1547-581610.3934/jimo.2014.10.363Pooseh, S.Almeida, R.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:RCAAP2024-02-22T11:21:09Zoai:ria.ua.pt:10773/11880Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:48:03.933657Repositório 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 Fractional order optimal control problems with free terminal time
title Fractional order optimal control problems with free terminal time
spellingShingle Fractional order optimal control problems with free terminal time
Pooseh, S.
Fractional calculus
Fractional optimal control
Free-time problem
Numerical approximations
Optimization and control
title_short Fractional order optimal control problems with free terminal time
title_full Fractional order optimal control problems with free terminal time
title_fullStr Fractional order optimal control problems with free terminal time
title_full_unstemmed Fractional order optimal control problems with free terminal time
title_sort Fractional order optimal control problems with free terminal time
author Pooseh, S.
author_facet Pooseh, S.
Almeida, R.
Torres, D. F. M.
author_role author
author2 Almeida, R.
Torres, D. F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Pooseh, S.
Almeida, R.
Torres, D. F. M.
dc.subject.por.fl_str_mv Fractional calculus
Fractional optimal control
Free-time problem
Numerical approximations
Optimization and control
topic Fractional calculus
Fractional optimal control
Free-time problem
Numerical approximations
Optimization and control
description We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminal- time triplet to be optimal are obtained. Situations with constraints present at the end time are also considered. Under appropriate assumptions, it is shown that the obtained necessary optimality conditions become sufficient. Numer- ical methods to solve the problems are presented, and some computational simulations are discussed in detail.
publishDate 2014
dc.date.none.fl_str_mv 2014-02-21T15:49:55Z
2014-01-01T00:00:00Z
2014
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/10773/11880
url http://hdl.handle.net/10773/11880
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1547-5816
10.3934/jimo.2014.10.363
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 American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
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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