Discrete-time interval optimal control problem

Detalhes bibliográficos
Autor(a) principal: Campos, J. R. [UNESP]
Data de Publicação: 2019
Outros Autores: Assunção, E. [UNESP], Silva, G. N. [UNESP], Lodwick, W. A., Teixeira, M. C.M. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/00207179.2017.1410575
http://hdl.handle.net/11449/187647
Resumo: This paper proposes a new approach for the discrete-time interval optimal control problem. The optimal interval solution of discrete-time interval optimal control problem is obtained using the single-level constrained interval arithmetic coupled with a dynamic programming technique. Moreover, the optimal interval solution contains the real-valued optimal solutions. To illustrate an optimal solution for the interval case, we use the minimax regret criterion in the interval inventory control problem we present.
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spelling Discrete-time interval optimal control problemgeneralised uncertaintyinterval dynamic programminginterval mathematical modelsInterval optimal control problemminimax regret criterionThis paper proposes a new approach for the discrete-time interval optimal control problem. The optimal interval solution of discrete-time interval optimal control problem is obtained using the single-level constrained interval arithmetic coupled with a dynamic programming technique. Moreover, the optimal interval solution contains the real-valued optimal solutions. To illustrate an optimal solution for the interval case, we use the minimax regret criterion in the interval inventory control problem we present.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Area of Sciences Federal Institute of Education Science and Technology of São PauloSchool of Engineering São Paulo State University (UNESP)Institute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)Department of Mathematical and Statistical Sciences University of ColoradoSchool of Engineering São Paulo State University (UNESP)Institute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)CNPq: 310798/2014-0CNPq: 400754/2014-2Science and Technology of São PauloUniversidade Estadual Paulista (Unesp)University of ColoradoCampos, J. R. [UNESP]Assunção, E. [UNESP]Silva, G. N. [UNESP]Lodwick, W. A.Teixeira, M. C.M. [UNESP]2019-10-06T15:42:53Z2019-10-06T15:42:53Z2019-08-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1778-1784http://dx.doi.org/10.1080/00207179.2017.1410575International Journal of Control, v. 92, n. 8, p. 1778-1784, 2019.1366-58200020-7179http://hdl.handle.net/11449/18764710.1080/00207179.2017.14105752-s2.0-85065517078Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Control193431info:eu-repo/semantics/openAccess2021-10-23T19:23:32Zoai:repositorio.unesp.br:11449/187647Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T19:23:32Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Discrete-time interval optimal control problem
title Discrete-time interval optimal control problem
spellingShingle Discrete-time interval optimal control problem
Campos, J. R. [UNESP]
generalised uncertainty
interval dynamic programming
interval mathematical models
Interval optimal control problem
minimax regret criterion
title_short Discrete-time interval optimal control problem
title_full Discrete-time interval optimal control problem
title_fullStr Discrete-time interval optimal control problem
title_full_unstemmed Discrete-time interval optimal control problem
title_sort Discrete-time interval optimal control problem
author Campos, J. R. [UNESP]
author_facet Campos, J. R. [UNESP]
Assunção, E. [UNESP]
Silva, G. N. [UNESP]
Lodwick, W. A.
Teixeira, M. C.M. [UNESP]
author_role author
author2 Assunção, E. [UNESP]
Silva, G. N. [UNESP]
Lodwick, W. A.
Teixeira, M. C.M. [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Science and Technology of São Paulo
Universidade Estadual Paulista (Unesp)
University of Colorado
dc.contributor.author.fl_str_mv Campos, J. R. [UNESP]
Assunção, E. [UNESP]
Silva, G. N. [UNESP]
Lodwick, W. A.
Teixeira, M. C.M. [UNESP]
dc.subject.por.fl_str_mv generalised uncertainty
interval dynamic programming
interval mathematical models
Interval optimal control problem
minimax regret criterion
topic generalised uncertainty
interval dynamic programming
interval mathematical models
Interval optimal control problem
minimax regret criterion
description This paper proposes a new approach for the discrete-time interval optimal control problem. The optimal interval solution of discrete-time interval optimal control problem is obtained using the single-level constrained interval arithmetic coupled with a dynamic programming technique. Moreover, the optimal interval solution contains the real-valued optimal solutions. To illustrate an optimal solution for the interval case, we use the minimax regret criterion in the interval inventory control problem we present.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T15:42:53Z
2019-10-06T15:42:53Z
2019-08-03
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://dx.doi.org/10.1080/00207179.2017.1410575
International Journal of Control, v. 92, n. 8, p. 1778-1784, 2019.
1366-5820
0020-7179
http://hdl.handle.net/11449/187647
10.1080/00207179.2017.1410575
2-s2.0-85065517078
url http://dx.doi.org/10.1080/00207179.2017.1410575
http://hdl.handle.net/11449/187647
identifier_str_mv International Journal of Control, v. 92, n. 8, p. 1778-1784, 2019.
1366-5820
0020-7179
10.1080/00207179.2017.1410575
2-s2.0-85065517078
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Control
193431
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1778-1784
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965742812102656

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