Zero-class admissibility of observation operators

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dc.creatorJacob, B.
dc.creatorPartington, J. R.
dc.creatorPott, S.
dc.date2008-10-06
dc.date.accessioned2026-07-07T10:07:51Z
dc.date.available2026-07-07T10:07:51Z
dc.descriptionAn 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0810.0972
dc.identifierhttp://arxiv.org/abs/0810.0972
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170786
dc.subjectFunctional Analysis
dc.subjectOptimization and Control
dc.subject93B07, 93B28 (Primary) 47D06, 47N70 (Secondary)
dc.titleZero-class admissibility of observation operators
dc.typetext

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