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Autori principali: Boutaayamou, Idriss, Et-tahri, Fouad, Maniar, Lahcen
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2407.19515
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author Boutaayamou, Idriss
Et-tahri, Fouad
Maniar, Lahcen
author_facet Boutaayamou, Idriss
Et-tahri, Fouad
Maniar, Lahcen
contents This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary control. First, we establish the null controllability of the ODE-heat with distributed control using Carleman estimates. Then, we conclude by the strategy of space domain extension. Finally, we illustrate the analysis with some numerical experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2407_19515
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Null controllability of an ODE-heat system with coupled boundary and internal terms
Boutaayamou, Idriss
Et-tahri, Fouad
Maniar, Lahcen
Optimization and Control
Dynamical Systems
This paper is devoted to the theoretical and numerical analysis of the null controllability of a coupled ODE-heat system internally and at the boundary with Neumann boundary control. First, we establish the null controllability of the ODE-heat with distributed control using Carleman estimates. Then, we conclude by the strategy of space domain extension. Finally, we illustrate the analysis with some numerical experiments.
title Null controllability of an ODE-heat system with coupled boundary and internal terms
topic Optimization and Control
Dynamical Systems
url https://arxiv.org/abs/2407.19515