Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems

Detalhes bibliográficos
Autor(a) principal: Aronna, María Soledad
Data de Publicação: 2017
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional do FGV (FGV Repositório Digital)
Texto Completo: http://hdl.handle.net/10438/18980
Resumo: In this article we study optimal control problems for sys- tems that are affine with respect to some of the control variables and nonlinear in relation to the others. We consider finitely many equality and inequality constraints on the initial and final values of the state. We investigate singular optimal solutions for this class of problems, for which we obtain second order necessary and sufficient conditions for weak optimality in integral form. We also derive Goh pointwise necessary op- timality conditions. We show an example to illustrate the results
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spelling Aronna, María SoledadEscolas::EMApDemais unidades::RPCA2017-10-20T12:07:15Z2017-10-20T12:07:15Z2017-03-02http://hdl.handle.net/10438/18980In this article we study optimal control problems for sys- tems that are affine with respect to some of the control variables and nonlinear in relation to the others. We consider finitely many equality and inequality constraints on the initial and final values of the state. We investigate singular optimal solutions for this class of problems, for which we obtain second order necessary and sufficient conditions for weak optimality in integral form. We also derive Goh pointwise necessary op- timality conditions. We show an example to illustrate the resultsengOptimal controlSingular controlSecond order optimality conditionGoh conditionLegendre-ClebschShooting algorithmMatemáticaOtimização matemáticaSecond order necessary and sufficient optimality conditions for singular solutions of partially-affine control problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectreponame:Repositório Institucional do FGV (FGV Repositório Digital)instname:Fundação Getulio Vargas (FGV)instacron:FGVinfo:eu-repo/semantics/openAccessRede de Pesquisa e Conhecimento AplicadoTEXTSecond Order Necessary and Sufficient Optimality Conditions for Singular Solutions of Partially-Affine Control Problems .pdf.txtSecond Order Necessary and Sufficient Optimality Conditions for Singular Solutions of Partially-Affine Control Problems .pdf.txtExtracted texttext/plain69123https://repositorio.fgv.br/bitstreams/edef17df-23ea-43e7-910f-7b647e24bd70/downloadf9656699bda179170fd2049a9571524eMD55ORIGINALSecond 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dc.title.eng.fl_str_mv Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
title Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
spellingShingle Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
Aronna, María Soledad
Optimal control
Singular control
Second order optimality condition
Goh condition
Legendre-Clebsch
Shooting algorithm
Matemática
Otimização matemática
title_short Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
title_full Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
title_fullStr Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
title_full_unstemmed Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
title_sort Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems
author Aronna, María Soledad
author_facet Aronna, María Soledad
author_role author
dc.contributor.unidadefgv.por.fl_str_mv Escolas::EMAp
Demais unidades::RPCA
dc.contributor.author.fl_str_mv Aronna, María Soledad
dc.subject.eng.fl_str_mv Optimal control
Singular control
Second order optimality condition
Goh condition
Legendre-Clebsch
Shooting algorithm
topic Optimal control
Singular control
Second order optimality condition
Goh condition
Legendre-Clebsch
Shooting algorithm
Matemática
Otimização matemática
dc.subject.area.por.fl_str_mv Matemática
dc.subject.bibliodata.por.fl_str_mv Otimização matemática
description In this article we study optimal control problems for sys- tems that are affine with respect to some of the control variables and nonlinear in relation to the others. We consider finitely many equality and inequality constraints on the initial and final values of the state. We investigate singular optimal solutions for this class of problems, for which we obtain second order necessary and sufficient conditions for weak optimality in integral form. We also derive Goh pointwise necessary op- timality conditions. We show an example to illustrate the results
publishDate 2017
dc.date.accessioned.fl_str_mv 2017-10-20T12:07:15Z
dc.date.available.fl_str_mv 2017-10-20T12:07:15Z
dc.date.issued.fl_str_mv 2017-03-02
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://hdl.handle.net/10438/18980
url http://hdl.handle.net/10438/18980
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional do FGV (FGV Repositório Digital)
instname:Fundação Getulio Vargas (FGV)
instacron:FGV
instname_str Fundação Getulio Vargas (FGV)
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institution FGV
reponame_str Repositório Institucional do FGV (FGV Repositório Digital)
collection Repositório Institucional do FGV (FGV Repositório Digital)
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