A note on spectral realisations for delay systems
type: Item
instance of: scholarly article
title: A note on spectral realisations for delay systems
zbMATH Open document ID: 0676.93019
DOI: 10.1016/0167-6911(88)90069-2
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: This note shows that a large class of scalar delay equations can be realized as a so-called spectral system on some state space. Spectral systems are known to posses some nice control theoretic properties.
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 4108588
zbMATH Keywords: delay equations
zbMATH Keywords: spectral system
author: Ruth Curtain
author: Hans Zwart
reviewed by: Fritz Colonius
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90069-2
OpenAlex ID: W1965800454
cites work: Q5728644
cites work: Robust control of flexible structures: A case study
cites work: Spectral systems
cites work: Q4735098
cites work: Controller design for distributed systems based on Hankel-norm approximations
cites work: Q5654646
cites work: Q3905961
cites work: Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
cites work: Completeness and F-completeness of eigenfunctions associated with retarded functional differential equations
cites work: \(L_{\infty}\) approximation and nuclearity of delay systems
cites work: Q3338046
cites work: Admissibility of input elements for diagonal semigroups on \(\ell\) 2
cites work: Characterization of All Controlled Invariant Subspaces for Spectral Systems
cites work: Q4029529
cites work: Partial fraction expansions for delay systems
description: scientific article; zbMATH DE number 4108588