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Infinite-time admissibility under compact perturbations

 
: Schmid, J.

:

Kerner, J.:
Control Theory of Infinite-Dimensional Systems : Workshop on "Control theory of infinite-dimensional systems", January 10-12, 2018, Hagen
Cham: Springer Nature, 2020 (Operator theory. Advances and applications 277)
ISBN: 978-3-030-35897-6 (Print)
ISBN: 978-3-030-35898-3 (Online)
S.73-82
Workshop on "Control theory of Infinite-Dimensional Systems" <2018, Hagen>
Englisch
Konferenzbeitrag
Fraunhofer ITWM ()

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 Q of the underlying semigroup generator A, even if A and A + Q both generate strongly stable semigroups.

: http://publica.fraunhofer.de/dokumente/N-602905.html