Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911172511399936 |
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| author | Eddargani, Salah Sbai, Amine |
| author_facet | Eddargani, Salah Sbai, Amine |
| contents | The goal of this paper is to analyze the pointwise controllability properties of a one-dimensional degenerate/singular equation. We prove the conditions that characterize approximate and null controllability. Besides, a numerical simulation based on B-splines will be provided, in which the state $u$ and the control function $h$ are represented in terms of B-spline basis functions. The numerical results obtained match the theoretical ones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04930 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines Eddargani, Salah Sbai, Amine Optimization and Control The goal of this paper is to analyze the pointwise controllability properties of a one-dimensional degenerate/singular equation. We prove the conditions that characterize approximate and null controllability. Besides, a numerical simulation based on B-splines will be provided, in which the state $u$ and the control function $h$ are represented in terms of B-spline basis functions. The numerical results obtained match the theoretical ones. |
| title | Minimal time of the pointwise controllability for degenerate singular operators and related numerical results via B-splines |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2405.04930 |