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Avtomatika i Telemekhanika, 2022, Issue 7, Pages 82–99
DOI: https://doi.org/10.31857/S0005231022070054 (Mi at15774) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Robust, Adaptive and Network Control

Robust D-decomposition for a polynomial dependence of the coefficients of a polynomial on two parameters

P. F. Pryashnikova

Sevastopol Branch, Lomonosov Moscow State University, Sevastopol, 299001 Russia
Full-text PDF (474 kB) First page Citations (1)
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DOI: https://doi.org/10.31857/S0005231022070054
Abstract: A method for constructing the interval stability set of a polynomial with interval coefficients polynomially depending on two parameters is proposed. The method is based on approximating the interval stability set with a given accuracy by a union of rectangles and does not require analyzing and constructing the boundaries of the D-decomposition. The convergence of the method is proved. The efficiency of the method is illustrated by examples.
Keywords: polynomial, stability, D-decomposition, robustness, polynomial dependence.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 15.08.2021
Revised: 29.01.2022
Accepted: 31.03.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 7, Pages 1078–1092
DOI: https://doi.org/10.1134/S0005117922070050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. F. Pryashnikova, “Robust D-decomposition for a polynomial dependence of the coefficients of a polynomial on two parameters”, Avtomat. i Telemekh., 2022, no. 7, 82–99; Autom. Remote Control, 83:7 (2022), 1078–1092
Citation in format AMSBIB
\Bibitem{Pry22}
\by P.~F.~Pryashnikova
\paper Robust D-decomposition for a polynomial dependence of the coefficients of a polynomial on two parameters
\jour Avtomat. i Telemekh.
\yr 2022
\issue 7
\pages 82--99
\mathnet{http://mi.mathnet.ru/at15774}
\crossref{https://doi.org/10.31857/S0005231022070054}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4464633}
\edn{https://elibrary.ru/AEIIWG}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 7
\pages 1078--1092
\crossref{https://doi.org/10.1134/S0005117922070050}
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  • https://www.mathnet.ru/eng/at/y2022/i7/p82
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:18
    First page:11
     
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