Zero-class admissibility of observation operators

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

An admissible observation operator is zero-class admissible if the norm of the output map tends to zero as the time tends to zero. Sufficient and necessary conditions for zero-class admissibility of observation operators are developed and a modified Weiss condition is studied. It is shown that the modified Weiss condition is in general necessary, but not sufficient for zero-class admissibility. For several important classes of C_0-semigroups it is proved that the modified Weiss condition is indeed equivalent to zero-class admissibility. The methods are illustrated by certain PDE examples.
12 pages

Keywords

Functional Analysis, Optimization and Control, 93B07, 93B28 (Primary) 47D06, 47N70 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/170786

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.0972
 http://arxiv.org/abs/0810.0972

Collections

arXiv