Regular linear systems with feedback
type: Item
instance of: scholarly article
title: Regular linear systems with feedback
zbMATH Open document ID: 0819.93034
DOI: 10.1007/BF01211484
author: George Weiss
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 1995-08-27T00:00:00Z
review text: For an LTI state-space model \((A, B, C, D)\) with a static relationship \((D)\) between input and output there are some well-known restrictions about the admissibility of the output feedback law. The aim of this paper is to extend the above elementary results to infinite-dimensional linear systems. The class of systems considered are the regular linear systems, representable by state-space equations where \(A\), \(B\), and \(C\) are possibly unbounded operators and \(D\) is bounded. A useful section of this paper recalls the most important properties of regular linear systems. It is shown that the closed-loop system obtained from a regular linear system with an admissible feedback operator is still regular. The relationship between the open-loop and the closed-loop models is investigated.
reviewed by: M.Tibaldi
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 700866
zbMATH Keywords: ouput feedback
zbMATH Keywords: infinite-dimensional linear systems
zbMATH Keywords: regular
zbMATH Keywords: unbounded operators
zbMATH Keywords: closed-loop
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01211484
OpenAlex ID: W2029710005
description: scientific article; zbMATH DE number 700866