Infinite-time admissibility under compact perturbations
Optimization and Control
2019-04-26 v1
Abstract
We investigate the behavior of infinite-time admissibility under compact perturbations. We show, by means of two completely different examples, that infinite-time admissibility is not preserved under compact perturbations of the underlying semigroup generator , even if and both generate strongly stable semigroups.
Cite
@article{arxiv.1904.11380,
title = {Infinite-time admissibility under compact perturbations},
author = {Jochen Schmid},
journal= {arXiv preprint arXiv:1904.11380},
year = {2019}
}
Comments
9 pages, workshop on control theory of infinite-dimensional systems in Hagen (January 2018)