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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2512.25041 |
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| _version_ | 1866908741731876864 |
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| author | Charaf, Nisrine Triki, Faouzi |
| author_facet | Charaf, Nisrine Triki, Faouzi |
| contents | In this paper, we study the observability of compactly perturbed infinite dimensional systems. Assuming that a given infinite-dimensional system with self-adjoint generator is exactly observable we derive sufficient conditions on a compact self adjoint perturbation to guarantee that the perturbed system stays exactly observable. The analysis is based on a careful asymptotic estimation of the spectral elements of the perturbed unbounded operator in terms of the compact perturbation. These intermediate results are of importance themselves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_25041 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On exact Observability for Compactly perturbed infinite dimension system Charaf, Nisrine Triki, Faouzi Analysis of PDEs 93C25, 47A55 In this paper, we study the observability of compactly perturbed infinite dimensional systems. Assuming that a given infinite-dimensional system with self-adjoint generator is exactly observable we derive sufficient conditions on a compact self adjoint perturbation to guarantee that the perturbed system stays exactly observable. The analysis is based on a careful asymptotic estimation of the spectral elements of the perturbed unbounded operator in terms of the compact perturbation. These intermediate results are of importance themselves. |
| title | On exact Observability for Compactly perturbed infinite dimension system |
| topic | Analysis of PDEs 93C25, 47A55 |
| url | https://arxiv.org/abs/2512.25041 |