Work

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

Year: 2026

Type: article

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.

Source: IEEE Control Systems Letters

DOI: 10.1109/lcsys.2026.3708570

Authors: Nicolas Augier, Milan Korda, Rodolfo Rios-Zertuche

Institutions: Centre National de la Recherche Scientifique, Laboratoire d'Analyse et d'Architecture des Systèmes, Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné, Czech Technical University in Prague, UiT The Arctic University of Norway

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

OpenAlex ID: W4417137494

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