Stability of distributed parameter systems with finite-dimensional controller-compensators using singular perturbations
type: Item
instance of: scholarly article
title: Stability of distributed parameter systems with finite-dimensional controller-compensators using singular perturbations
zbMATH Open document ID: 0553.93048
DOI: 10.1016/0022-247X(84)90236-1
author: Mark J. Balas
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: The author considers the problem of stabilizing an infinite-dimensional system by a finite-dimensional dynamic controller (compensator). The approach is to assume a singular perturbations formulation and to design a finite-dimensional controller for the reduced order model obtained when \(\epsilon =0\). Bounds on \(\epsilon\) for which this controller also stabilizes the infinite-dimensional system are given in terms of system parameters.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B50
zbMATH DE Number: 3882307
zbMATH Keywords: distributed parameter system
zbMATH Keywords: finite-dimensional controller
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3882307