A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process
A controlled sweeping process with prox-regular set, W1,2-controls, and separable endpoints constraints is considered in this paper. Existence of optimal solutions is established and local optimality conditions are derived via strong converging continuous approximations that entirely reside in the i...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | article |
| Published: |
2023
|
| Online Access: | http://hdl.handle.net/10725/14657 https://doi.org/10.48550/arXiv.2301.00475 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://arxiv.org/abs/2301.00475 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1864513469667082240 |
|---|---|
| author | Nour, Chadi |
| author2 | Zeidan, Vera |
| author2_role | author |
| author_facet | Nour, Chadi Zeidan, Vera |
| author_role | author |
| dc.creator.none.fl_str_mv | Nour, Chadi Zeidan, Vera |
| dc.date.none.fl_str_mv | 2023-05-03T13:17:00Z 2023-05-03T13:17:00Z 2023 2023-01-01 |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10725/14657 https://doi.org/10.48550/arXiv.2301.00475 Nour, C., & Zeidan, V. (2023). A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process. arXiv preprint arXiv:2301.00475. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://arxiv.org/abs/2301.00475 |
| dc.language.none.fl_str_mv | en |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | A controlled sweeping process with prox-regular set, W1,2-controls, and separable endpoints constraints is considered in this paper. Existence of optimal solutions is established and local optimality conditions are derived via strong converging continuous approximations that entirely reside in the interior of the prox-regular set. Consequently, these results are expressed in terms of new subdifferentials for the original data that are strictly smaller than the standard Clarke and Mordukhovich subdifferentials. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_42ece82c2f4f67bbb6bf7fbb65fed89c |
| identifier_str_mv | Nour, C., & Zeidan, V. (2023). A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process. arXiv preprint arXiv:2301.00475. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/14657 |
| publishDate | 2023 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping processNour, ChadiZeidan, VeraA controlled sweeping process with prox-regular set, W1,2-controls, and separable endpoints constraints is considered in this paper. Existence of optimal solutions is established and local optimality conditions are derived via strong converging continuous approximations that entirely reside in the interior of the prox-regular set. Consequently, these results are expressed in terms of new subdifferentials for the original data that are strictly smaller than the standard Clarke and Mordukhovich subdifferentials.Pre-print2023-05-03T13:17:00Z2023-05-03T13:17:00Z20232023-01-01Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10725/14657https://doi.org/10.48550/arXiv.2301.00475Nour, C., & Zeidan, V. (2023). A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process. arXiv preprint arXiv:2301.00475.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://arxiv.org/abs/2301.00475eninfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/146572024-07-12T06:42:28Z |
| spellingShingle | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process Nour, Chadi |
| status_str | publishedVersion |
| title | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| title_full | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| title_fullStr | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| title_full_unstemmed | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| title_short | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| title_sort | A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process |
| url | http://hdl.handle.net/10725/14657 https://doi.org/10.48550/arXiv.2301.00475 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://arxiv.org/abs/2301.00475 |