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- Title
Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions.
- Authors
Boutaayamou, Idriss; Maniar, Lahcen; Oukdach, Omar
- 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.
- Subjects
HEAT equation; CARLEMAN theorem; NASH equilibrium; HEATING control
- Publication
Evolution Equations & Control Theory, 2022, Vol 11, Issue 4, p1285
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2021044