Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control

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Détails bibliographiques
Auteurs principaux:	Augier, Nicolas, Korda, Milan, Rios-Zertuche, Rodolfo
Format:	Preprint
Publié:	2025
Sujets:	Optimization and Control Differential Geometry 49M20 (Primary) G.1.6; G.1.7
Accès en ligne:	Acceder al recurso
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_version_	1866915202998468608
author	Augier, Nicolas Korda, Milan Rios-Zertuche, Rodolfo
author_facet	Augier, Nicolas Korda, Milan Rios-Zertuche, Rodolfo
contents	This work presents new sufficient conditions for the absence of a gap corresponding to Young measure and occupation measure relaxations for constrained optimal control problems. Unlike existing conditions, these sufficient conditions do not rely on convexity of the Lagrangian or the set of admissible velocities. We use these conditions to derive new bounds for the size of the relaxation gap.
format	Preprint
id	arxiv_https___arxiv_org_abs_2503_13780
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control Augier, Nicolas Korda, Milan Rios-Zertuche, Rodolfo Optimization and Control Differential Geometry 49M20 (Primary) G.1.6; G.1.7 This work presents new sufficient conditions for the absence of a gap corresponding to Young measure and occupation measure relaxations for constrained optimal control problems. Unlike existing conditions, these sufficient conditions do not rely on convexity of the Lagrangian or the set of admissible velocities. We use these conditions to derive new bounds for the size of the relaxation gap.
title	Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control
topic	Optimization and Control Differential Geometry 49M20 (Primary) G.1.6; G.1.7
url	https://arxiv.org/abs/2503.13780

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