BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators
Optimization and Control
2023-02-21 v1 Analysis of PDEs
Abstract
This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee feasibility of funnel control for coupled ODE-PDE systems, as shown by means of an example from chemical engineering.
Cite
@article{arxiv.2302.09175,
title = {BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators},
author = {Anthony Hastir and René Hosfeld and Felix L. Schwenninger and Alexander A. Wierzba},
journal= {arXiv preprint arXiv:2302.09175},
year = {2023}
}