Dynamic Stabilisation of Boundary Control Systems
Optimization and Control
2026-05-28 v1 Analysis of PDEs
Functional Analysis
Abstract
We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and polynomial stability, and establish external well-posedness of the closed-loop system. We design controllers for a one-dimensional wave equation, a two-dimensional wave equation with distributed control and observation, and a non-uniform SCOLE model.
Cite
@article{arxiv.2605.28189,
title = {Dynamic Stabilisation of Boundary Control Systems},
author = {Mohamed Fkirine and Lassi Paunonen},
journal= {arXiv preprint arXiv:2605.28189},
year = {2026}
}
Comments
26 pages, 1 figure. Submitted