Minimax Control Problems: Optimality Conditions

Detalhes bibliográficos
Autor(a) principal: Aquino, P. G.P. [UNESP]
Data de Publicação: 2021
Outros Autores: De Pinho, M.D.R., Silva, G. N. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.procs.2021.04.126
http://hdl.handle.net/11449/229328
Resumo: The formulation of the minimax control problem is considered. We allow for parameter uncertainties in all functions involved: in the cost function, in the dynamical control system and in the equality and inequality constraints. Weak maximal principle for minimax optimal control problems with mixed state-control equality and inequality constraints, under the constraint qualification of Mangassarian-Fromovitz type are discussed. The optimality conditions under a full rank conditions type is derived, and it is shown that it is, as usual, a particular case of the Mangassarian-Fromovitz type condition case. We also look at the necessary conditions of optimality for simplified versions of the model and degeneracy issues.
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spelling Minimax Control Problems: Optimality Conditionsmaximum principleminimax controlmixed constrainedoptimal control problemsThe formulation of the minimax control problem is considered. We allow for parameter uncertainties in all functions involved: in the cost function, in the dynamical control system and in the equality and inequality constraints. Weak maximal principle for minimax optimal control problems with mixed state-control equality and inequality constraints, under the constraint qualification of Mangassarian-Fromovitz type are discussed. The optimality conditions under a full rank conditions type is derived, and it is shown that it is, as usual, a particular case of the Mangassarian-Fromovitz type condition case. We also look at the necessary conditions of optimality for simplified versions of the model and degeneracy issues.UNESP Universidade Estadual Paulista Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática, SPUniversidade Do Porto Faculdade de Engenharia DEEC, SystecUNESP Universidade Estadual Paulista Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática, SPUniversidade Estadual Paulista (UNESP)DEECAquino, P. G.P. [UNESP]De Pinho, M.D.R.Silva, G. N. [UNESP]2022-04-29T08:31:58Z2022-04-29T08:31:58Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject70-77http://dx.doi.org/10.1016/j.procs.2021.04.126Procedia Computer Science, v. 186, p. 70-77.1877-0509http://hdl.handle.net/11449/22932810.1016/j.procs.2021.04.1262-s2.0-85112542230Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProcedia Computer Scienceinfo:eu-repo/semantics/openAccess2022-04-29T08:31:58Zoai:repositorio.unesp.br:11449/229328Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T08:31:58Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Minimax Control Problems: Optimality Conditions
title Minimax Control Problems: Optimality Conditions
spellingShingle Minimax Control Problems: Optimality Conditions
Aquino, P. G.P. [UNESP]
maximum principle
minimax control
mixed constrained
optimal control problems
title_short Minimax Control Problems: Optimality Conditions
title_full Minimax Control Problems: Optimality Conditions
title_fullStr Minimax Control Problems: Optimality Conditions
title_full_unstemmed Minimax Control Problems: Optimality Conditions
title_sort Minimax Control Problems: Optimality Conditions
author Aquino, P. G.P. [UNESP]
author_facet Aquino, P. G.P. [UNESP]
De Pinho, M.D.R.
Silva, G. N. [UNESP]
author_role author
author2 De Pinho, M.D.R.
Silva, G. N. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
DEEC
dc.contributor.author.fl_str_mv Aquino, P. G.P. [UNESP]
De Pinho, M.D.R.
Silva, G. N. [UNESP]
dc.subject.por.fl_str_mv maximum principle
minimax control
mixed constrained
optimal control problems
topic maximum principle
minimax control
mixed constrained
optimal control problems
description The formulation of the minimax control problem is considered. We allow for parameter uncertainties in all functions involved: in the cost function, in the dynamical control system and in the equality and inequality constraints. Weak maximal principle for minimax optimal control problems with mixed state-control equality and inequality constraints, under the constraint qualification of Mangassarian-Fromovitz type are discussed. The optimality conditions under a full rank conditions type is derived, and it is shown that it is, as usual, a particular case of the Mangassarian-Fromovitz type condition case. We also look at the necessary conditions of optimality for simplified versions of the model and degeneracy issues.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
2022-04-29T08:31:58Z
2022-04-29T08:31:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.procs.2021.04.126
Procedia Computer Science, v. 186, p. 70-77.
1877-0509
http://hdl.handle.net/11449/229328
10.1016/j.procs.2021.04.126
2-s2.0-85112542230
url http://dx.doi.org/10.1016/j.procs.2021.04.126
http://hdl.handle.net/11449/229328
identifier_str_mv Procedia Computer Science, v. 186, p. 70-77.
1877-0509
10.1016/j.procs.2021.04.126
2-s2.0-85112542230
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Procedia Computer Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 70-77
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_ 1799965199716843520

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