On the strict- and wide-sense stability robustness of uncertain systems: Application of a new frequency criterion
type: Item
instance of: scholarly article
title: On the strict- and wide-sense stability robustness of uncertain systems: Application of a new frequency criterion
zbMATH Open document ID: 0818.93052
DOI: 10.1016/0167-6911(94)90035-3
author: A. Katbab
author: Eliahu I. Jury
author: Yakov Z. Tsypkin
author: Boris T. Polyak
published in: Systems \& Control Letters
publication date: 1995-08-20T00:00:00Z
review text: The authors utilize a new frequency-domain graphical approach, recently developed by the first two authors, to estimate the largest stability domain of rectangular shape around a given stable nominal polynomial. This estimation is important for robust stability of uncertain systems. The method is based on Mikhailov's criterion, and it requires plotting a single hodograph and evaluation of two boundary conditions, hence reducing the computational effort for robust stability analysis and controller design. The authors extend this approach to a more general robust stability region, i.e., closed left-half plane for the continuous time case, in the extended or wide-sense Hurwitz stability context. This study may be applied to a number of robustness problems such as positivity, nonnegativity, spectral analysis, and array processing.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 579971
zbMATH Keywords: Mikhailov's criterion
zbMATH Keywords: robust stability
zbMATH Keywords: spectral analysis
zbMATH Keywords: continuous-time
reviewed by: M. Zuhair Nashed
MaRDI profile type: Publication
full work available at URL: 0167-6911(94)90035-3
OpenAlex ID: W2177565997
cites work: Necessary and sufficient conditions for the stability of polynomials with linear parameter dependencies
cites work: Frequency domain conditions for the stability of perturbed polynomials
cites work: Stability of a Hurwitz polynomial under coefficient perturbations: necessary and sufficient conditions
cites work: Invariance of the strict Hurwitz property for polynomials with perturbed coefficients
cites work: A generalization of Kharitonov's four-polynomial concept for robust stability problems with linearly dependent coefficient perturbations
cites work: Wide sense stability of discrete- and continuous-time linear systems in the complex case
cites work: Stability of polynomials under coefficient perturbation
cites work: On robust Hurwitz and Schur polynomials
cites work: Maximal unidirectional perturbation bounds for stability of polynomials and matrices
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description: scientific article; zbMATH DE number 579971