Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions

First and second order optimality conditions are derived for infinite horizon optimal control problems subject to a semilinear parabolic equation, in the situation where the control-to-state mapping is not necessarily well defined. To deal with this situation appropriate detectability and stabilizin...

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Detalles Bibliográficos
Autores: Casas Rentería, Eduardo|||0000-0002-8364-9416, Kunisch, Karl
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:dnet:ucreareposit::4eecf526b8e0c7c841d1c60333f7b678
Acceso en línea:https://hdl.handle.net/10902/40437
Access Level:acceso abierto
Palabra clave:Semilinear parabolic equations
Infinite horizon
Feedback stabilization
Detectability
Robinson's constraint qualification
Optimality conditions
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spelling Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptionsCasas Rentería, Eduardo|||0000-0002-8364-9416Kunisch, KarlSemilinear parabolic equationsInfinite horizonFeedback stabilizationDetectabilityRobinson's constraint qualificationOptimality conditionsFirst and second order optimality conditions are derived for infinite horizon optimal control problems subject to a semilinear parabolic equation, in the situation where the control-to-state mapping is not necessarily well defined. To deal with this situation appropriate detectability and stabilizing feedback mechanisms are introduced. Furthermore, the convergence of families of finite horizon optimal control problems to the infinite horizon problem is investigated.The first author was supported by MICIU/AEI/10.13039/501100011033/ under research project PID2023-147610NB-I00.Society for Industrial and Applied MathematicsUniversidad de Cantabria20262026-02-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttps://hdl.handle.net/10902/40437SIAM Journal on Control and Optimization, 2026, 64(1), 472-495reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:dnet:ucreareposit::4eecf526b8e0c7c841d1c60333f7b6782026-06-02T12:39:31Z
dc.title.none.fl_str_mv Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
title Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
spellingShingle Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
Casas Rentería, Eduardo|||0000-0002-8364-9416
Semilinear parabolic equations
Infinite horizon
Feedback stabilization
Detectability
Robinson's constraint qualification
Optimality conditions
title_short Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
title_full Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
title_fullStr Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
title_full_unstemmed Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
title_sort Optimality conditions for infinite horizon control problems under detectability and stabilizability assumptions
dc.creator.none.fl_str_mv Casas Rentería, Eduardo|||0000-0002-8364-9416
Kunisch, Karl
author Casas Rentería, Eduardo|||0000-0002-8364-9416
author_facet Casas Rentería, Eduardo|||0000-0002-8364-9416
Kunisch, Karl
author_role author
author2 Kunisch, Karl
author2_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Semilinear parabolic equations
Infinite horizon
Feedback stabilization
Detectability
Robinson's constraint qualification
Optimality conditions
topic Semilinear parabolic equations
Infinite horizon
Feedback stabilization
Detectability
Robinson's constraint qualification
Optimality conditions
description First and second order optimality conditions are derived for infinite horizon optimal control problems subject to a semilinear parabolic equation, in the situation where the control-to-state mapping is not necessarily well defined. To deal with this situation appropriate detectability and stabilizing feedback mechanisms are introduced. Furthermore, the convergence of families of finite horizon optimal control problems to the infinite horizon problem is investigated.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-02-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10902/40437
url https://hdl.handle.net/10902/40437
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
dc.source.none.fl_str_mv SIAM Journal on Control and Optimization, 2026, 64(1), 472-495
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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