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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.08335 |
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| _version_ | 1866917265942773760 |
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| author | Labbadi, Moussa Roman, Christophe Chitour, Yacine |
| author_facet | Labbadi, Moussa Roman, Christophe Chitour, Yacine |
| contents | This paper presents finite-time and fixed-time stabilization results for inhomogeneous abstract evolution problems, extending existing theories. We prove well-posedness for strong and weak solutions, and estimate upper bounds for settling times for both homogeneous and inhomogeneous systems. We generalize finite-dimensional results to infinite-dimensional systems and demonstrate partial state stabilization with actuation on a subset of the domain. The interest of these results are illustrated through an application of a heat equation with memory term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_08335 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Robust Fixed-Time Stabilization of the Cauchy Problem in Hilbert Spaces Labbadi, Moussa Roman, Christophe Chitour, Yacine Systems and Control This paper presents finite-time and fixed-time stabilization results for inhomogeneous abstract evolution problems, extending existing theories. We prove well-posedness for strong and weak solutions, and estimate upper bounds for settling times for both homogeneous and inhomogeneous systems. We generalize finite-dimensional results to infinite-dimensional systems and demonstrate partial state stabilization with actuation on a subset of the domain. The interest of these results are illustrated through an application of a heat equation with memory term. |
| title | On Robust Fixed-Time Stabilization of the Cauchy Problem in Hilbert Spaces |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2601.08335 |