Null controllability of an ODE-heat system with coupled boundary and internal terms

Idriss Boutaayamou, Fouad Et-tahri and Lahcen Maniar

Applied Mathematics and Computation, 2025, vol. 495, issue C

Abstract: 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.

Keywords: Coupled ODE-heat system; Null controllability; Carleman estimate; Hilbert uniqueness method (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:495:y:2025:i:c:s009630032500030x

DOI: 10.1016/j.amc.2025.129303

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