An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type
In this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control-state pairs under relaxed re...
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/3518988 |
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| _version_ | 1849251752272986112 |
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| author | Longxu Li Huiting Lu |
| author_facet | Longxu Li Huiting Lu |
| author_sort | Longxu Li |
| collection | DOAJ |
| description | In this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control-state pairs under relaxed regularity assumptions. Subsequently, we extend these results to establish the existence of optimal control trajectories for a generalized Lagrangian formulation, incorporating nonlocal dynamics and time-dependent constraints. The analysis emphasizes the interplay between compactness criteria and measurable selection techniques in infinite-dimensional settings. |
| format | Article |
| id | doaj-art-1d47e655a03e4ac68ec6cc4b0f982bc2 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1d47e655a03e4ac68ec6cc4b0f982bc22025-08-20T03:56:50ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/3518988An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential TypeLongxu Li0Huiting Lu1School of Mathematics and Information ScienceCollege of Artificial Intelligence and SoftwareIn this paper, we study the optimal feedback control framework for a class of nonautonomous evolution equations involving integrodifferential operators. By leveraging the Cesari property and Filippov’s selection theorem, we first prove the existence of admissible control-state pairs under relaxed regularity assumptions. Subsequently, we extend these results to establish the existence of optimal control trajectories for a generalized Lagrangian formulation, incorporating nonlocal dynamics and time-dependent constraints. The analysis emphasizes the interplay between compactness criteria and measurable selection techniques in infinite-dimensional settings.http://dx.doi.org/10.1155/jom/3518988 |
| spellingShingle | Longxu Li Huiting Lu An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type Journal of Mathematics |
| title | An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type |
| title_full | An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type |
| title_fullStr | An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type |
| title_full_unstemmed | An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type |
| title_short | An Optimal Feedback Control for Nonautonomous Evolution Equations With Integrodifferential Type |
| title_sort | optimal feedback control for nonautonomous evolution equations with integrodifferential type |
| url | http://dx.doi.org/10.1155/jom/3518988 |
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