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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Detalles Bibliográficos
Autores principales:	Bonnans, J.F., de la Vega, C.S.F.
Formato:	JOUR
Materias:	Ekeland's principle Integral equations Optimal control Pontryagin principle State constraints
Acceso en línea:	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	todo:paper_09276947_v18_n3-4_p307_Bonnans
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spelling	todo:paper_09276947_v18_n3-4_p307_Bonnans2023-10-03T15:47:05Z Optimal control of state constrained integral equations Bonnans, J.F. de la Vega, C.S.F. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Bonnans, J.F. de la Vega, C.S.F. 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.
format	JOUR
author	Bonnans, J.F. de la Vega, C.S.F.
author_facet	Bonnans, J.F. de la Vega, C.S.F.
author_sort	Bonnans, J.F.
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
url	http://hdl.handle.net/20.500.12110/paper_09276947_v18_n3-4_p307_Bonnans
work_keys_str_mv	AT bonnansjf optimalcontrolofstateconstrainedintegralequations AT delavegacsf optimalcontrolofstateconstrainedintegralequations
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Optimal control of state constrained integral equations

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