Higher order necessary conditions for optimal controls not ranging in the interior
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910926081359872 |
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| author | Angrisani, Francesca Rampazzo, Franco |
| author_facet | Angrisani, Francesca Rampazzo, Franco |
| contents | Goh's and Legendre-Clebsch necessary conditions for optimal controls of affine-control systems are usually established under the hypothesis that the minimizing control lies in the interior of the control set $U$. In this paper we investigate the possibility of establishing Goh's and Legendre-Clebsch necessary conditions without this assumption, so that even control sets with empty interiors or optimal controls touching the boundary of $U$ can be taken into consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00790 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher order necessary conditions for optimal controls not ranging in the interior Angrisani, Francesca Rampazzo, Franco Optimization and Control Goh's and Legendre-Clebsch necessary conditions for optimal controls of affine-control systems are usually established under the hypothesis that the minimizing control lies in the interior of the control set $U$. In this paper we investigate the possibility of establishing Goh's and Legendre-Clebsch necessary conditions without this assumption, so that even control sets with empty interiors or optimal controls touching the boundary of $U$ can be taken into consideration. |
| title | Higher order necessary conditions for optimal controls not ranging in the interior |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2505.00790 |