Semigroup generation and stabilization by \(A^{\rho}\)-bounded feedback perturbations
type: Item
instance of: scholarly article
title: Semigroup generation and stabilization by \(A^{\rho}\)-bounded feedback perturbations
zbMATH Open document ID: 0699.93080
DOI: 10.1016/0167-6911(90)90054-X
author: Richard Rebarber
published in: Systems \& Control Letters
publication date: 1990-01-01T00:00:00Z
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 4148000
zbMATH Keywords: distributed parameter systems
zbMATH Keywords: unbounded feedback
zbMATH Keywords: fractional
zbMATH Keywords: powers of operators
zbMATH Keywords: generator of a strongly continuous semigroup
zbMATH Keywords: feedback perturbations
MaRDI profile type: Publication
cites work: Equivalence of input-output stability and exponential stability for infinite-dimensional systems
cites work: Q4026352
cites work: Modeling, Stabilization and Control of Serially Connected Beams
cites work: Spectral properties of finite-dimensional perturbed linear semigroups
cites work: Q3219341
cites work: Feedback boundary control problems for linear semigroups
cites work: Admissible Input Elements for Systems in Hilbert Space and a Carleson Measure Criterion
cites work: Q3775869
cites work: Q3738108
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Necessary conditions for exponential stabilizability of distributed parameter systems with infinite dimensional unbounded feedback
cites work: Spectral Assignability for Distributed Parameter Systems with Unbounded Scalar Control
cites work: Q3338046
cites work: Finite rank, relatively bounded perturbations of semi-groups generators. III: A sharp result on the lack of uniform stabilization
cites work: Q3207428
cites work: Admissibility of input elements for diagonal semigroups on \(\ell\) 2
cites work: Admissibility of Unbounded Control Operators
cites work: On Decomposition of Generators
full work available at URL: 0167-6911(90)90054-x
OpenAlex ID: W2019941698
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description: scientific article; zbMATH DE number 4148000