Finite-time stabilization via impulse control of degenerate singular parabolic equations
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910095166668800 |
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| author | Zouhair, Walid Guermai, Ghita El Ouelddris, Ilham |
| author_facet | Zouhair, Walid Guermai, Ghita El Ouelddris, Ilham |
| contents | This paper examines the impulse controllability of degenerate singular parabolic equations through a modern framework focused on finite-time stabilization. Furthermore, we provide an explicit estimate for the exponential decay of the solution. The proof of our main result combines a logarithmic convexity estimate with specific spectral properties. Finally, we establish the existence and uniqueness of the minimal norm impulse control associated with the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01311 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite-time stabilization via impulse control of degenerate singular parabolic equations Zouhair, Walid Guermai, Ghita El Ouelddris, Ilham Analysis of PDEs Optimization and Control This paper examines the impulse controllability of degenerate singular parabolic equations through a modern framework focused on finite-time stabilization. Furthermore, we provide an explicit estimate for the exponential decay of the solution. The proof of our main result combines a logarithmic convexity estimate with specific spectral properties. Finally, we establish the existence and uniqueness of the minimal norm impulse control associated with the system. |
| title | Finite-time stabilization via impulse control of degenerate singular parabolic equations |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2604.01311 |