Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915202998468608 |
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| 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 |