First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations

Autores
Frederic, Bonnas Joseph; Sanchez Fernandez de la Vega, Constanza Mariel; Dupuis, Xavier
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First-order necessary conditions of optimality are given by the description of the set of Lagrange multipliers. Second-order necessary conditions are expressed by the nonnegativity of the supremum of some quadratic forms. Second-order sufficient conditions are also obtained in the case where these quadratic forms are of Legendre type.
Fil: Frederic, Bonnas Joseph. Ecole Polytechnique; Francia
Fil: Sanchez Fernandez de la Vega, Constanza Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Dupuis, Xavier. Ecole Polytechnique; Francia
Materia
INTEGRAL EQUATIONS
OPTIMAL CONTROL
SECOND-ORDER OPTIMALITY CONDITIONS
STATE CONSTRAINTS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/88816
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/88816
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral EquationsFrederic, Bonnas JosephSanchez Fernandez de la Vega, Constanza MarielDupuis, XavierINTEGRAL EQUATIONSOPTIMAL CONTROLSECOND-ORDER OPTIMALITY CONDITIONSSTATE CONSTRAINTShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First-order necessary conditions of optimality are given by the description of the set of Lagrange multipliers. Second-order necessary conditions are expressed by the nonnegativity of the supremum of some quadratic forms. Second-order sufficient conditions are also obtained in the case where these quadratic forms are of Legendre type.Fil: Frederic, Bonnas Joseph. Ecole Polytechnique; FranciaFil: Sanchez Fernandez de la Vega, Constanza Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Dupuis, Xavier. Ecole Polytechnique; FranciaSpringer/Plenum Publishers2013-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88816Frederic, Bonnas Joseph; Sanchez Fernandez de la Vega, Constanza Mariel; Dupuis, Xavier; First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations; Springer/Plenum Publishers; Journal Of Optimization Theory And Applications; 159; 1; 10-2013; 1-400022-3239CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10957-013-0299-3info:eu-repo/semantics/altIdentifier/doi/10.1007/s10957-013-0299-3info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1205.3614info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:54:56Zoai:ri.conicet.gov.ar:11336/88816instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:54:57.627CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
title First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
spellingShingle First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
Frederic, Bonnas Joseph
INTEGRAL EQUATIONS
OPTIMAL CONTROL
SECOND-ORDER OPTIMALITY CONDITIONS
STATE CONSTRAINTS
title_short First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
title_full First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
title_fullStr First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
title_full_unstemmed First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
title_sort First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations
dc.creator.none.fl_str_mv Frederic, Bonnas Joseph
Sanchez Fernandez de la Vega, Constanza Mariel
Dupuis, Xavier
author Frederic, Bonnas Joseph
author_facet Frederic, Bonnas Joseph
Sanchez Fernandez de la Vega, Constanza Mariel
Dupuis, Xavier
author_role author
author2 Sanchez Fernandez de la Vega, Constanza Mariel
Dupuis, Xavier
author2_role author
author
dc.subject.none.fl_str_mv INTEGRAL EQUATIONS
OPTIMAL CONTROL
SECOND-ORDER OPTIMALITY CONDITIONS
STATE CONSTRAINTS
topic INTEGRAL EQUATIONS
OPTIMAL CONTROL
SECOND-ORDER OPTIMALITY CONDITIONS
STATE CONSTRAINTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First-order necessary conditions of optimality are given by the description of the set of Lagrange multipliers. Second-order necessary conditions are expressed by the nonnegativity of the supremum of some quadratic forms. Second-order sufficient conditions are also obtained in the case where these quadratic forms are of Legendre type.
Fil: Frederic, Bonnas Joseph. Ecole Polytechnique; Francia
Fil: Sanchez Fernandez de la Vega, Constanza Mariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Dupuis, Xavier. Ecole Polytechnique; Francia
description This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the setting of integral dynamics, and we work here with constraints of arbitrary high orders. First-order necessary conditions of optimality are given by the description of the set of Lagrange multipliers. Second-order necessary conditions are expressed by the nonnegativity of the supremum of some quadratic forms. Second-order sufficient conditions are also obtained in the case where these quadratic forms are of Legendre type.
publishDate 2013
dc.date.none.fl_str_mv 2013-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/88816
Frederic, Bonnas Joseph; Sanchez Fernandez de la Vega, Constanza Mariel; Dupuis, Xavier; First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations; Springer/Plenum Publishers; Journal Of Optimization Theory And Applications; 159; 1; 10-2013; 1-40
0022-3239
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88816
identifier_str_mv Frederic, Bonnas Joseph; Sanchez Fernandez de la Vega, Constanza Mariel; Dupuis, Xavier; First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations; Springer/Plenum Publishers; Journal Of Optimization Theory And Applications; 159; 1; 10-2013; 1-40
0022-3239
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10957-013-0299-3
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10957-013-0299-3
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1205.3614
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer/Plenum Publishers
publisher.none.fl_str_mv Springer/Plenum Publishers
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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