Decoupling in infinite dimensions
type: Item
instance of: scholarly article
title: Decoupling in infinite dimensions
zbMATH Open document ID: 0565.93038
DOI: 10.1016/0167-6911(85)90017-9
author: Ruth Curtain
published in: Systems \& Control Letters
publication date: 1985-01-01T00:00:00Z
review text: The decoupling problem for the linear system \(x'=Ax+Bu\) consists of finding a feedback law of the special form \(u(t)=Fx(t)+G_ 1v_ 1(t)+...+G_ kv_ k(t),\) containing new inputs \(v_ 1(t),...,v_ k(t)\) in such a way that, in the resulting system, external outputs each completely control one output but have no influence on the rest. The author extends the finite dimensional theory of the decoupling problem (due to Wonham) to infinite dimensional systems with finite dimensional inputs and outputs.
reviewed by: Hector O. Fattorini
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 46C99
Mathematics Subject Classification ID: 47A15
Mathematics Subject Classification ID: 47D03
zbMATH DE Number: 3902502
zbMATH Keywords: decoupling
zbMATH Keywords: feedback
zbMATH Keywords: infinite dimensional systems
MaRDI profile type: Publication
full work available at URL: 0167-6911(85)90017-9
OpenAlex ID: W2091512255
cites work: Infinite dimensional linear systems theory
cites work: Spectral systems
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cites work: Geometric state-space theory in linear multivariable control: A status report
description: scientific article; zbMATH DE number 3902502