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Avtomatika i Telemekhanika, 2007, Issue 12, Pages 38–52 (Mi at1090)  
This article is cited in 7 scientific papers (total in 7 papers)

Deterministic Systems

Multidimensional stability domain of special polynomial families

E. N. Gryazina, B. T. Polyak

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (301 kB) Citations (7)
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Abstract: Consideration was given to the characteristic polynomials with special affine uncertainty. For this family, the stability domain in the parameter space was shown to be a union of polyhedra. For continuous-time and discrete-time systems, a simple method was proposed to single out the stability domain and determine the stability radius for different norms of uncertainty. Efficiency of this method was corroborated by examples.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 09.11.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 12, Pages 2128–2141
DOI: https://doi.org/10.1134/S000511790712003X
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: E. N. Gryazina, B. T. Polyak, “Multidimensional stability domain of special polynomial families”, Avtomat. i Telemekh., 2007, no. 12, 38–52; Autom. Remote Control, 68:12 (2007), 2128–2141
Citation in format AMSBIB
\Bibitem{GryPol07}
\by E.~N.~Gryazina, B.~T.~Polyak
\paper Multidimensional stability domain of special polynomial families
\jour Avtomat. i Telemekh.
\yr 2007
\issue 12
\pages 38--52
\mathnet{http://mi.mathnet.ru/at1090}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2406133}
\zmath{https://zbmath.org/?q=an:1146.93373}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 12
\pages 2128--2141
\crossref{https://doi.org/10.1134/S000511790712003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349127913}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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