Boundary output feedback stabilisation for 2-D and 3-D parabolic equations
Abstract
The present paper addresses the topic of boundary output feedback stabilization of parabolic-type equations, governed by linear differential operators which can be diagonalized by the introduction of adequate weighting functions (by means of the Sturm-Liouville method), and which evolve in bounded spatial domains that are subsets of . Combining ideas inspired by \cite{lhachemi2022finite} for the boundary output feedback control of 1-D parabolic PDEs and \cite{munteanu2019boundary} for the state feedback control of multi-D parabolic PDEs, we report in this paper an output feedback boundary stabilizing control with internal Dirichlet measurements designed by means of a finite-dimensional observer. The reported control design procedure is shown to be systematic for 2-D and 3-D parabolic equations.
Cite
@article{arxiv.2302.12460,
title = {Boundary output feedback stabilisation for 2-D and 3-D parabolic equations},
author = {Hugo Lhachemi and Ionut Munteanu and Christophe Prieur},
journal= {arXiv preprint arXiv:2302.12460},
year = {2023}
}