Hierarchic Controllability for a nonlinear parabolic equation in one dimension
Abstract
This paper deals with the hierarchical control of the parabolic equation.We use StackelbergNash strategies. As usual, we consider one leader and two followers. To each leader we associate a Nash equilibrium corresponding to a bi-objective optimal control problem, then, we look for a leader that solves null controllability e with trajectories problem. We consider linear and nonlinear equations in dimension 1.
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