Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers
type: Item
instance of: scholarly article
title: Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers
zbMATH Open document ID: 0602.93036
DOI: 10.1016/0022-247X(86)90230-1
author: Mark J. Balas
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: A scheme for designing finite-dimensional controllers based on a Galerkin approximation of an infinite-dimensional controller for linear distributed parameter systems is presented. Sufficient conditions under which the Galerkin approximation will exponentially stabilize the closed- loop system are given, provided of course approximations of sufficiently high order are taken.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 3972743
zbMATH Keywords: exponential stability
zbMATH Keywords: reduced order model
zbMATH Keywords: finite-dimensional controllers
zbMATH Keywords: Galerkin approximation
zbMATH Keywords: linear distributed parameter systems
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3972743