Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions
Idriss Boutaayamou, Lahcen Maniar, Omar Oukdach
Abstract
<p style='text-indent:20px;'>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.</p>
Topics & Concepts
ControllabilityNull (SQL)Boundary value problemHeat equationBoundary (topology)MathematicsMathematical analysisPhysicsControl (management)Work (physics)Applied mathematicsNeumann boundary conditionEllipsoidOptimal controlAnisotropyParabolic partial differential equationObservabilityInitial value problemStability and Controllability of Differential EquationsNonlinear Differential Equations AnalysisControl and Stability of Dynamical Systems