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arXiv · 2109.02356

Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions

Idriss Boutaayamou·Lahcen Maniar·Omar Oukdach
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Abstract

This paper deals with the hierarchical control of the anisotropic heat equation with dynamic boundary conditions and drift terms. We use the Stackelberg-Nash strategy with one leader and two followers. To each fixed leader, we find a Nash equilibrium corresponding to a bi-objective optimal control problem for the followers. Then, by some new Carleman estimates, we prove a null controllability result.

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Idriss Boutaayamou, Lahcen Maniar, Omar Oukdach. 2021-09-06. Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions. https://doi.org/10.3934/eect.2021044

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