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arXiv · 2503.13780

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

Nicolas Augier·Milan Korda·Rodolfo Rios-Zertuche
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Abstract

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.

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Nicolas Augier, Milan Korda, Rodolfo Rios-Zertuche. 2025-03-17. Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control. https://arxiv.org/abs/2503.13780

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