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Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions
- Publication Year :
- 2021
-
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 :
- Mathematics - Optimization and Control
Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2109.02356
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.3934/eect.2021044