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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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-03-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.568/ |
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| author | Emamizadeh, Behrouz Liu, Yichen Zivari-Rezapour, Mohsen |
| author_facet | Emamizadeh, Behrouz Liu, Yichen Zivari-Rezapour, Mohsen |
| author_sort | Emamizadeh, Behrouz |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ba4fa11532994ef1bd662e1fe065a8b7 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-ba4fa11532994ef1bd662e1fe065a8b72025-02-07T11:16:25ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-03-01362G219520210.5802/crmath.56810.5802/crmath.568A general existence theorem for a multi-valued control problemEmamizadeh, Behrouz0Liu, Yichen1Zivari-Rezapour, Mohsen2Department of Mathematical Sciences, University of Nottingham Ningbo China, Ningbo, China; Institute for Research in Fundamental Sciences (IPM), Tehran, IranDepartment of Applied Mathematics, School of Mathematics and Physics, Xi’an Jiaotong-Liverpool University, Suzhou, ChinaDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, IranIn 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.568/multi-valued controlexistenceuniquenessdecompositionoptimality condition |
| spellingShingle | Emamizadeh, Behrouz Liu, Yichen Zivari-Rezapour, Mohsen A general existence theorem for a multi-valued control problem Comptes Rendus. Mathématique multi-valued control existence uniqueness decomposition optimality condition |
| title | A general existence theorem for a multi-valued control problem |
| title_full | A general existence theorem for a multi-valued control problem |
| title_fullStr | A general existence theorem for a multi-valued control problem |
| title_full_unstemmed | A general existence theorem for a multi-valued control problem |
| title_short | A general existence theorem for a multi-valued control problem |
| title_sort | general existence theorem for a multi valued control problem |
| topic | multi-valued control existence uniqueness decomposition optimality condition |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.568/ |
| work_keys_str_mv | AT emamizadehbehrouz ageneralexistencetheoremforamultivaluedcontrolproblem AT liuyichen ageneralexistencetheoremforamultivaluedcontrolproblem AT zivarirezapourmohsen ageneralexistencetheoremforamultivaluedcontrolproblem AT emamizadehbehrouz generalexistencetheoremforamultivaluedcontrolproblem AT liuyichen generalexistencetheoremforamultivaluedcontrolproblem AT zivarirezapourmohsen generalexistencetheoremforamultivaluedcontrolproblem |