Optimal control problems governed by a class of nonlinear systems
This article suggested a solution to a flow control problem governed by a class of nonlinear systems called bilinear systems. The problem was initially well-posed, and after it was established that an optimal control solution existed, its characteristics were stated. After that, we demonstrated how...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024024?viewType=HTML |
| _version_ | 1827581173881110528 |
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| author | Maawiya Ould Sidi Rabie Zine Sid Ahmed Ould Ahmed Mahmoud Hadi Obaid Alshammari Sid Ahmed Ould Beinane |
| author_facet | Maawiya Ould Sidi Rabie Zine Sid Ahmed Ould Ahmed Mahmoud Hadi Obaid Alshammari Sid Ahmed Ould Beinane |
| author_sort | Maawiya Ould Sidi |
| collection | DOAJ |
| description | This article suggested a solution to a flow control problem governed by a class of nonlinear systems called bilinear systems. The problem was initially well-posed, and after it was established that an optimal control solution existed, its characteristics were stated. After that, we demonstrated how to use various bounded feedback controls to make a plate equation's flow close to the required profile. As an application, we resolved the plate equation-governed partial flow control issue. The findings bring up a variety of system applications, which can be employed in engineering advancement. |
| first_indexed | 2024-03-08T22:32:33Z |
| format | Article |
| id | doaj.art-ada635098eaa4377aa710eddb22dc69f |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T22:32:33Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ada635098eaa4377aa710eddb22dc69f2023-12-18T01:18:13ZengAIMS PressAIMS Mathematics2473-69882024-01-019144045210.3934/math.2024024Optimal control problems governed by a class of nonlinear systemsMaawiya Ould Sidi 0Rabie Zine1Sid Ahmed Ould Ahmed Mahmoud 2Hadi Obaid Alshammari3Sid Ahmed Ould Beinane 41. Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia2. School of Science and Engineering, Al Akhawayn University in Ifrane, Ifrane, Morocco1. Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia1. Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia1. Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi ArabiaThis article suggested a solution to a flow control problem governed by a class of nonlinear systems called bilinear systems. The problem was initially well-posed, and after it was established that an optimal control solution existed, its characteristics were stated. After that, we demonstrated how to use various bounded feedback controls to make a plate equation's flow close to the required profile. As an application, we resolved the plate equation-governed partial flow control issue. The findings bring up a variety of system applications, which can be employed in engineering advancement.https://www.aimspress.com/article/doi/10.3934/math.2024024?viewType=HTMLnonlinear systemsbilinear systemsoptimal controladjoint methodpartial method |
| spellingShingle | Maawiya Ould Sidi Rabie Zine Sid Ahmed Ould Ahmed Mahmoud Hadi Obaid Alshammari Sid Ahmed Ould Beinane Optimal control problems governed by a class of nonlinear systems AIMS Mathematics nonlinear systems bilinear systems optimal control adjoint method partial method |
| title | Optimal control problems governed by a class of nonlinear systems |
| title_full | Optimal control problems governed by a class of nonlinear systems |
| title_fullStr | Optimal control problems governed by a class of nonlinear systems |
| title_full_unstemmed | Optimal control problems governed by a class of nonlinear systems |
| title_short | Optimal control problems governed by a class of nonlinear systems |
| title_sort | optimal control problems governed by a class of nonlinear systems |
| topic | nonlinear systems bilinear systems optimal control adjoint method partial method |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024024?viewType=HTML |
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