Hierarchic Controllability for a nonlinear parabolic equation in one dimension
Analysis of PDEs
2019-12-03 v1
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.
Cite
@article{arxiv.1912.00248,
title = {Hierarchic Controllability for a nonlinear parabolic equation in one dimension},
author = {M. R. Nuñez-Chávez and J. Límaco},
journal= {arXiv preprint arXiv:1912.00248},
year = {2019}
}