A general existence theorem for a multi-valued control problem
In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak$^\star $ closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition fo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.568/ |
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| Summary: | In this paper, we propose a general existence theorem for a multi-valued control problem. The proof of the theorem is based on a decomposition result of the weak$^\star $ closure of the set containing all the multi-valued controls and the bathtub principle. We also obtain the optimality condition for the optimal control. |
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| ISSN: | 1778-3569 |