Abstract
This paper deals with the problem of constrained controllability governed by parabolic evolution equations. The purpose is to compute the control u which steers the studied system to a final state which is supposed to be unknown between two defined bounds, only on a boundary subregion \(\varGamma \) of the system evolution domain \(\varOmega \). The main result is proved via Lagrangian multiplier approach, and the numerical part is given on the basis of the well-known Uzawa algorithm. These results are illustrated by a numerical example.
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The work has been carried out with a grant from Hassan II Academy of Sciences and Technology.
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Karite, T., Boutoulout, A., El Alaoui, F.Z. (2018). Some Numerical Results of Regional Boundary Controllability with Output Constraints. In: Klingenberg, C., Westdickenberg, M. (eds) Theory, Numerics and Applications of Hyperbolic Problems II. HYP 2016. Springer Proceedings in Mathematics & Statistics, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-319-91548-7_8
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DOI: https://doi.org/10.1007/978-3-319-91548-7_8
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