On BIBO stability of infinite-dimensional linear state-space systems
Optimization and Control
2024-01-17 v2
Abstract
In this paper we consider BIBO stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermore, we provide several sufficient conditions guaranteeing BIBO stability of a particular system and discuss to which extent this property is preserved under additive and multiplicative perturbations of the system.
Cite
@article{arxiv.2303.18148,
title = {On BIBO stability of infinite-dimensional linear state-space systems},
author = {Felix L. Schwenninger and Alexander A. Wierzba and Hans Zwart},
journal= {arXiv preprint arXiv:2303.18148},
year = {2024}
}
Comments
21 pages, streamlined presentation, minor changes