Dynamic Stabilisation of Boundary Control Systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910264850382848 |
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| author | Fkirine, Mohamed Paunonen, Lassi |
| author_facet | Fkirine, Mohamed Paunonen, Lassi |
| contents | We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of the closed-loop system. We design controllers for a one-dimensional wave equation, a two-dimensional wave equation with distributed control and observation, and a non-uniform SCOLE model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28189 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dynamic Stabilisation of Boundary Control Systems Fkirine, Mohamed Paunonen, Lassi Optimization and Control Analysis of PDEs Functional Analysis 93C25, 93D15, 35B35 (93C20, 47D06, 47A10) We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of the closed-loop system. We design controllers for a one-dimensional wave equation, a two-dimensional wave equation with distributed control and observation, and a non-uniform SCOLE model. |
| title | Dynamic Stabilisation of Boundary Control Systems |
| topic | Optimization and Control Analysis of PDEs Functional Analysis 93C25, 93D15, 35B35 (93C20, 47D06, 47A10) |
| url | https://arxiv.org/abs/2605.28189 |