Dynamic Stabilisation of Boundary Control Systems
arXiv:2605.28189
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.
26 pages, 1 figure. Submitted. Version 2: Minor change in Proposition 2.11