Infinite dimensional time-varying systems with nonlinear output feedback
type: Item
instance of: scholarly article
title: Infinite dimensional time-varying systems with nonlinear output feedback
zbMATH Open document ID: 0839.93057
DOI: 10.1007/BF01203385
author: Birgit Jacob
author: Vasile Dragan
author: A. J. Pritchard
published in: Integral Equations and Operator Theory
publication date: 1995-09-20T00:00:00Z
review text: Infinite-dimensional systems are deeply studied under the extra assumption that the system is linear and time-invariant. Here, the authors develop an existence and robust-stability theory for time-varying infinite-dimensional systems. In the class of systems under investigation, unboundedness in the control and observation operators are allowed. After defining the class of time-varying systems, and the allowed class of (nonlinear) output feedback, the authors give several necessary conditions for the system to stay stable under this class of output feedback. The theory could, for instance, be applied to investigate the stability of a (linearized) partial differential equation. Some of the results presented are new even for finite-dimensional systems.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 798840
zbMATH Keywords: infinite-dimensional systems
zbMATH Keywords: robust-stability
zbMATH Keywords: time-varying
zbMATH Keywords: output feedback
reviewed by: Hans Zwart
describes a project that uses: HP90
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01203385
OpenAlex ID: W2066132167
description: scientific article; zbMATH DE number 798840