Singularly perturbed systems of diffusion type and feedback control
type: Item
instance of: scholarly article
title: Singularly perturbed systems of diffusion type and feedback control
zbMATH Open document ID: 0542.93035
DOI: 10.1016/0005-1098(84)90067-0
author: Aart van Harten
published in: Automatica
publication date: 1984-01-01T00:00:00Z
review text: A linear equation of diffusion type with a small parameter in the elliptic operator is considered. The equation is treated as a control system with feedback using observations of the state in a finite number of points in the interior of the domain. The properties of a certain asymptotic series solution are studied. The results are regarded as useful techniques for near optimum design of control systems.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 3863038
zbMATH Keywords: linear equation of diffusion type with a small parameter in the elliptic operator
zbMATH Keywords: feedback
zbMATH Keywords: asymptotic series solution
zbMATH Keywords: near optimum design
reviewed by: A. L. Dontchev
MaRDI profile type: Publication
full work available at URL: 0005-1098(84)90067-0
OpenAlex ID: W2123119024
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description: scientific article; zbMATH DE number 3863038