Optimal control of state constrained integral equations

We consider the optimal control problem of a class of integral equations with initial and final state constraints, as well as running state constraints. We prove Pontryagin's principle, and study the continuity of the optimal control and of the measure associated with first order state constrai...

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Guardado en:
Detalles Bibliográficos
Publicado: 2010
Materias:
Ekeland's principle
Integral equations
Optimal control
Pontryagin principle
State constraints
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09276947_v18_n3-4_p307_Bonnans
http://hdl.handle.net/20.500.12110/paper_09276947_v18_n3-4_p307_Bonnans
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09276947_v18_n3-4_p307_Bonnans
record_format dspace
spelling paper:paper_09276947_v18_n3-4_p307_Bonnans2023-06-08T15:51:59Z Optimal control of state constrained integral equations Ekeland's principle Integral equations Optimal control Pontryagin principle State constraints We consider the optimal control problem of a class of integral equations with initial and final state constraints, as well as running state constraints. We prove Pontryagin's principle, and study the continuity of the optimal control and of the measure associated with first order state constraints. We also establish the Lipschitz continuity of these two functions of time for problems with only first order state constraints. © Springer Science+Business Media B.V. 2010. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09276947_v18_n3-4_p307_Bonnans http://hdl.handle.net/20.500.12110/paper_09276947_v18_n3-4_p307_Bonnans
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Ekeland's principle
Integral equations
Optimal control
Pontryagin principle
State constraints
spellingShingle Ekeland's principle
Integral equations
Optimal control
Pontryagin principle
State constraints
Optimal control of state constrained integral equations
topic_facet Ekeland's principle
Integral equations
Optimal control
Pontryagin principle
State constraints
description We consider the optimal control problem of a class of integral equations with initial and final state constraints, as well as running state constraints. We prove Pontryagin's principle, and study the continuity of the optimal control and of the measure associated with first order state constraints. We also establish the Lipschitz continuity of these two functions of time for problems with only first order state constraints. © Springer Science+Business Media B.V. 2010.
title Optimal control of state constrained integral equations
title_short Optimal control of state constrained integral equations
title_full Optimal control of state constrained integral equations
title_fullStr Optimal control of state constrained integral equations
title_full_unstemmed Optimal control of state constrained integral equations
title_sort optimal control of state constrained integral equations
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09276947_v18_n3-4_p307_Bonnans
http://hdl.handle.net/20.500.12110/paper_09276947_v18_n3-4_p307_Bonnans
_version_ 1768546635560779776

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