Admissibility of input elements for diagonal semigroups on \(\ell\) 2
type: Item
instance of: scholarly article
title: Admissibility of input elements for diagonal semigroups on \(\ell\) 2
zbMATH Open document ID: 0634.93046
DOI: 10.1016/0167-6911(88)90044-8
author: George Weiss
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: Necessary and sufficient conditions are given for the admissibility of unbounded inputs for abstract systems with a semigroup which is isomorphic to a diagonal semigroup on \(\ell_ 2\). The necessity had already been proved by \textit{L. F. Ho} and \textit{D. L. Russell} [SIAM J. Control Optimization 21, 614-640 (1983; Zbl 0512.93044)].
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4033616
zbMATH Keywords: infinite dimensional systems
zbMATH Keywords: Carleson measure criterion
zbMATH Keywords: admissibility of unbounded inputs
zbMATH Keywords: diagonal semigroup
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90044-8
OpenAlex ID: W1994368256
cites work: Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Realization theory in Hilbert space
cites work: Admissibility of Unbounded Control Operators
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description: scientific article; zbMATH DE number 4033616