A Popov criterion for uncertain linear multivariable systems
type: Item
instance of: scholarly article
title: A Popov criterion for uncertain linear multivariable systems
zbMATH Open document ID: 0838.93058
DOI: 10.1016/0005-1098(95)00025-R
author: Dennis S. Bernstein
author: Wassim M. Haddad
author: Andrew Sparks
published in: Automatica
publication date: 1996-05-30T00:00:00Z
review text: A simplified proof of the multivariable Popov criterion is given for the case of one-sided, sector-bounded real parameter uncertainty. Whereas the Popov criterion is traditionally proved using a Lyapunov function and the positive real lemma, here the proof is based upon frequency-domain arguments. A loop-shifting transformation is used to express the Popov criterion in terms of two-sided, sector-bounded uncertain matrices. Using the Popov criterion, an upper bound for the structured singular value with real parameter uncertainty is given.
reviewed by: Mihail Megan
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C80
zbMATH DE Number: 806692
zbMATH Keywords: multivariable Popov criterion
zbMATH Keywords: structured singular value
MaRDI profile type: Publication
cites work: Q5569343
cites work: Nonlinear systems
cites work: Q5684916
cites work: Q3141919
full work available at URL: 0005-1098(95)00025-r
OpenAlex ID: W2024708635
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description: scientific article; zbMATH DE number 806692