Zero-class admissibility of observation operators

Jacob, B., Partington, J.R. and Pott, S. (2009) Zero-class admissibility of observation operators. Systems and Control Letters, 58(6), pp. 406-412. (doi: 10.1016/j.sysconle.2009.01.009)

Abstract

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Pott, Dr Sandra
• Authors: Jacob, B., Partington, J.R., and Pott, S.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Systems and Control Letters
• Publisher: Elsevier Science
• ISSN: 0167-6911