A note on the genericity of simultaneous stabilizability and pole assignability
type: Item
instance of: scholarly article
title: A note on the genericity of simultaneous stabilizability and pole assignability
zbMATH Open document ID: 0612.93057
DOI: 10.1007/BF01600068
author: Bernard C. Levy
author: N. Viswanadham
author: M. Vidyasagar
published in: Circuits, Systems, and Signal Processing
publication date: 1986-01-01T00:00:00Z
review text: The genericity of simultaneous stabilizability, simultaneous strong stabilizability and simultaneous pole assignability in linear multivariable systems is studied. Some results concerning the above cases are derived using simple proofs. Also, some lemmas concerning generic greatest common divisors which may be of some independent interest are presented. The main results of the paper had been previously established by \textit{B. K. Ghosh} and \textit{C. I. Byrnes} [see IEEE Trans. Autom. Control AC-28, 735-741 (1983; Zbl 0543.93053)] using state-space methods. In contrast, the proofs in the paper are formulated in the input-output setting without recourse to state-space realizations and suggest simple procedures for the computation of a common controller that achieves the derived property. The paper is well organized and written and can be considered to be of very good quality in its topic area.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 3991390
zbMATH Keywords: genericity
zbMATH Keywords: simultaneous stabilizability
zbMATH Keywords: simultaneous pole assignability
zbMATH Keywords: linear multivariable systems
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01600068
OpenAlex ID: W2015747040
description: scientific article; zbMATH DE number 3991390