Sufficient Conditions for the Absence of Relaxation Gaps in State-Constrained Optimal Control

IEEE Control Systems Letters 2026 Open access

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Authors: Nicolas Augier, Milan Korda, Rodolfo Ríos-Zertuche
DOI: 10.1109/lcsys.2026.3708570
Cited by: 0

Abstract

This work presents new sufficient conditions for the absence of a gap corre-sponding to Young measure and occupation measure relaxations for constrainedoptimal control problems. Unlike existing conditions, these sufficient conditionsdo 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.

Fields of Study & Subjects

Optimization and Variational Analysis Stability and Control of Uncertain Systems Spacecraft Dynamics and Control

Publication details

Journal / source
IEEE Control Systems Letters
Volume
10
Pages
1999–2004
Publication date
1 January 2026
Language
EN