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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.20113 |
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| _version_ | 1866917809346314240 |
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| author | Hu, Long Olive, Guillaume |
| author_facet | Hu, Long Olive, Guillaume |
| contents | In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_20113 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws Hu, Long Olive, Guillaume Optimization and Control 35L40, 93B05 In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property. |
| title | The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws |
| topic | Optimization and Control 35L40, 93B05 |
| url | https://arxiv.org/abs/2403.20113 |