Robustness of linear systems
type: Item
instance of: scholarly article
title: Robustness of linear systems
zbMATH Open document ID: 0674.34061
DOI: 10.1016/0022-0396(89)90144-7
published in: Journal of Differential Equations
publication date: 1989-01-01T00:00:00Z
review text: The authors deal with perturbations of stable linear differential or integrodifferential systems in abstract spaces analysing the robustness of the stability. For systems governed by semigroups or resolvent operators they characterize the robustness in terms of stability radii. In great detail, the authors exhibit the complicated behaviour of time varying systems governed by mild evolution operators.
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 93D99
zbMATH DE Number: 4103524
zbMATH Keywords: integrodifferential systems
zbMATH Keywords: robustness
zbMATH Keywords: stability radii
zbMATH Keywords: mild evolution operators
Wikidata QID: Q57925840
author: A. J. Pritchard
author: Stuart Townley
MaRDI profile type: Publication
full work available at URL: 0022-0396(89)90144-7
OpenAlex ID: W2059683416
cites work: Stability radii of linear systems
cites work: Stability radius for structured perturbations and the algebraic Riccati equation
cites work: Q3783166
cites work: On linear Volterra equations in Banach spaces
cites work: Resolvent Operators for Integral Equations in a Banach Space
cites work: Q5619754
cites work: The Linear Quadratic Control Problem for Infinite Dimensional Systems with Unbounded Input and Output Operators
cites work: The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators
cites work: Robustness of stability of time-varying linear systems
cites work: Q4183783
cites work: Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space
cites work: Equivalence of Lp stability and exponential stability for a class of nonlinear semigroups
cites work: Q5656654
cites work: Spectral properties of finite-dimensional perturbed linear semigroups
cites work: Q5526485
description: scientific article; zbMATH DE number 4103524