vix.ing · top · new · best · stats · spec

Dynamic Stabilisation of Boundary Control Systems

2026/05/27 by Mohamed Fkirine, Lassi Paunonen · 1 citation
#math.OC #math.AP #math.FA

paper · pdf

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.

Citations

Cited by

Related