Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives

Detalhes bibliográficos
Autor(a) principal: Karite, Touria
Data de Publicação: 2020
Outros Autores: Boutoulout, Ali, Torres, Delfim 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/10773/28113
Resumo: We investigate the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controllability that allows us to extend available contributions. Moreover, the problem is studied using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allow us to characterize the minimum energy control.
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spelling Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivativesFractional calculus and diffusionCaputo derivatives and enlarged controllabilityRHUM approach and minimum energyFractional optimal controlZone and pointwise actuatorsWe investigate the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controllability that allows us to extend available contributions. Moreover, the problem is studied using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allow us to characterize the minimum energy control.Natural Sciences Publishing (NSP)2020-03-30T12:06:36Z2020-04-01T00:00:00Z2020-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/28113eng2356-933610.18576/pfda/060201Karite, TouriaBoutoulout, AliTorres, Delfim 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:RCAAP2024-02-22T11:54:25Zoai:ria.ua.pt:10773/28113Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:00:44.592037Repositório 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 Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
title Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
spellingShingle Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
Karite, Touria
Fractional calculus and diffusion
Caputo derivatives and enlarged controllability
RHUM approach and minimum energy
Fractional optimal control
Zone and pointwise actuators
title_short Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
title_full Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
title_fullStr Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
title_full_unstemmed Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
title_sort Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
author Karite, Touria
author_facet Karite, Touria
Boutoulout, Ali
Torres, Delfim F. M.
author_role author
author2 Boutoulout, Ali
Torres, Delfim F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Karite, Touria
Boutoulout, Ali
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Fractional calculus and diffusion
Caputo derivatives and enlarged controllability
RHUM approach and minimum energy
Fractional optimal control
Zone and pointwise actuators
topic Fractional calculus and diffusion
Caputo derivatives and enlarged controllability
RHUM approach and minimum energy
Fractional optimal control
Zone and pointwise actuators
description We investigate the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controllability that allows us to extend available contributions. Moreover, the problem is studied using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allow us to characterize the minimum energy control.
publishDate 2020
dc.date.none.fl_str_mv 2020-03-30T12:06:36Z
2020-04-01T00:00:00Z
2020-04
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/10773/28113
url http://hdl.handle.net/10773/28113
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2356-9336
10.18576/pfda/060201
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 Natural Sciences Publishing (NSP)
publisher.none.fl_str_mv Natural Sciences Publishing (NSP)
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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