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arXiv · 1912.00248

Hierarchic Controllability for a nonlinear parabolic equation in one dimension

M. R. Nuñez-Chávez·J. Límaco
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Abstract

This paper deals with the hierarchical control of the parabolic equation.We use Stackelberg{Nash 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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M. R. Nuñez-Chávez, J. Límaco. 2019-11-30. Hierarchic Controllability for a nonlinear parabolic equation in one dimension. https://arxiv.org/abs/1912.00248

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