A dual notion to BIBO stability
Optimization and Control
2025-02-12 v1 Functional Analysis
Abstract
In this paper we consider BIBO stability of infinite-dimensional linear state-space systems and the related notion of -to- input-output stability (abbreviated LILO). We show that in the case of finite-dimensional input and output spaces, both are equivalent and preserved under duality transformations. In the general case, neither of these properties is satisfied, but BIBO and LILO stability remain dual to each other.
Keywords
Cite
@article{arxiv.2408.06313,
title = {A dual notion to BIBO stability},
author = {Felix L. Schwenninger and Alexander A. Wierzba},
journal= {arXiv preprint arXiv:2408.06313},
year = {2025}
}
Comments
16 pages