Infinite-time admissibility under compact perturbations
arXiv:1904.11380
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.
9 pages, workshop on control theory of infinite-dimensional systems in Hagen (January 2018)