Rapid and finite-time boundary stabilization of a KdV system
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910610035310592 |
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| author | Nguyen, Hoai-Minh |
| author_facet | Nguyen, Hoai-Minh |
| contents | We construct a static feedback control in a trajectory sense and a dynamic feedback control to obtain the local rapid boundary stabilization of a KdV system using Gramian operators. We also construct a time-varying feedback control in the trajectory sense and a time varying dynamic feedback control to reach the local finite-time boundary stabilization for the same system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11768 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rapid and finite-time boundary stabilization of a KdV system Nguyen, Hoai-Minh Optimization and Control 93B52, 93D15, 35B30, 35B35 We construct a static feedback control in a trajectory sense and a dynamic feedback control to obtain the local rapid boundary stabilization of a KdV system using Gramian operators. We also construct a time-varying feedback control in the trajectory sense and a time varying dynamic feedback control to reach the local finite-time boundary stabilization for the same system. |
| title | Rapid and finite-time boundary stabilization of a KdV system |
| topic | Optimization and Control 93B52, 93D15, 35B30, 35B35 |
| url | https://arxiv.org/abs/2409.11768 |