Abstract
The aim of this paper is to study a bilinear boundary optimal control problem for an output of infinite dimensional parabolic systems. We show the existence of a control minimizing a quadratic functional, that we characterize using an optimality system. Then, we derive sufficient condition for the uniqueness of such a control, and we develop an algorithm that allows its computation. A simulation illustrating the theoretical results is given.
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Acknowledgements
The work has been carried out with a grant from Hassan II Academy of Sciences and Technology.
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Zerrik, E.H., El Kabouss, A. (2020). Bilinear Boundary Control Problem of an Output of Parabolic Systems. In: Zerrik, E., Melliani, S., Castillo, O. (eds) Recent Advances in Modeling, Analysis and Systems Control: Theoretical Aspects and Applications. Studies in Systems, Decision and Control, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-030-26149-8_15
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DOI: https://doi.org/10.1007/978-3-030-26149-8_15
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