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.
@article{arxiv.2109.02356,
title = {Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions},
author = {Idriss Boutaayamou and Lahcen Maniar and Omar Oukdach},
journal= {arXiv preprint arXiv:2109.02356},
year = {2021}
}