Stackelberg strategy on a degenerate parabolic equation with missing data
Optimization and Control
2022-09-12 v1
Abstract
This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null controllability with low-regret control. We assume that we can act on the system through a set of hierarchic controls. The main control called the leader is in charge of the null controllability while the second control named the follower solves an optimal control problem involving a missing data. The main novelty of this work is the derivation of a new Carleman inequality for a degenerate system, which is used in a standard way to show observability inequality of the adjoint degenerate systems.
Keywords
Cite
@article{arxiv.2209.04441,
title = {Stackelberg strategy on a degenerate parabolic equation with missing data},
author = {Landry Djomegne and Cyrille Kenne and Romario Gildas Foko Tiomela},
journal= {arXiv preprint arXiv:2209.04441},
year = {2022}
}