Strong input-to-state stability for infinite dimensional linear systems
Functional Analysis
2019-02-05 v2 Dynamical Systems
Optimization and Control
Abstract
This paper deals with strong versions of input-to-state stability and integral input-to-state stability of infinite-dimensional linear systems with an unbounded input operator. We show that infinite-time admissibility with respect to inputs in an Orlicz space is a sufficient condition for a system to be strongly integral input-to-state stable but, unlike in the case of exponentially stable systems, not a necessary one.
Cite
@article{arxiv.1708.07482,
title = {Strong input-to-state stability for infinite dimensional linear systems},
author = {Robert Nabiullin and Felix Schwenninger},
journal= {arXiv preprint arXiv:1708.07482},
year = {2019}
}
Comments
12 pages, revised introduction, streamlined article, added references