arXiv:2407.19515 Abstract | arXiv Analytics

arXiv:2407.19515 [math.OC]Abstract References Reviews Resources

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

Idriss Boutaayamou, Fouad Et-tahri, Lahcen Maniar

Published 2024-07-28Version 1

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.

Categories: math.OC, math.DS

Keywords: null controllability, internal terms, coupled boundary, space domain extension, neumann boundary control

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