Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback
We solve an optimal control problem governed by an evolution equation using bilinear regular feedback. Using optimization techniques, we show how to approximate the flow of a reaction-diffusion bilinear system by a desired target. For application, we consider the regional flow problem constrained by...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/3521914 |
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| _version_ | 1832562435283746816 |
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| author | Badriah Shuwaysh Alanazi Maawiya Ould Sidi |
| author_facet | Badriah Shuwaysh Alanazi Maawiya Ould Sidi |
| author_sort | Badriah Shuwaysh Alanazi |
| collection | DOAJ |
| description | We solve an optimal control problem governed by an evolution equation using bilinear regular feedback. Using optimization techniques, we show how to approximate the flow of a reaction-diffusion bilinear system by a desired target. For application, we consider the regional flow problem constrained by a bilinear distributed system. The paper ends by an example illustrating the numerical approach of the proposed method. |
| format | Article |
| id | doaj-art-e8cd9d6ea8d84592b56d14ea5bb12d31 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e8cd9d6ea8d84592b56d14ea5bb12d312025-02-03T01:22:45ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/3521914Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular FeedbackBadriah Shuwaysh Alanazi0Maawiya Ould Sidi1RT-M2A LaboratoryRT-M2A LaboratoryWe solve an optimal control problem governed by an evolution equation using bilinear regular feedback. Using optimization techniques, we show how to approximate the flow of a reaction-diffusion bilinear system by a desired target. For application, we consider the regional flow problem constrained by a bilinear distributed system. The paper ends by an example illustrating the numerical approach of the proposed method.http://dx.doi.org/10.1155/2022/3521914 |
| spellingShingle | Badriah Shuwaysh Alanazi Maawiya Ould Sidi Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback Journal of Mathematics |
| title | Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback |
| title_full | Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback |
| title_fullStr | Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback |
| title_full_unstemmed | Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback |
| title_short | Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback |
| title_sort | optimal control problem governed by an evolution equation and using bilinear regular feedback |
| url | http://dx.doi.org/10.1155/2022/3521914 |
| work_keys_str_mv | AT badriahshuwayshalanazi optimalcontrolproblemgovernedbyanevolutionequationandusingbilinearregularfeedback AT maawiyaouldsidi optimalcontrolproblemgovernedbyanevolutionequationandusingbilinearregularfeedback |