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Avtomatika i Telemekhanika, 2014, Issue 8, Pages 48–58 (Mi at14106)  

This article is cited in 5 scientific papers (total in 5 papers)

Linear Systems

Method of forbidden regions in the dynamic system matrices root clustering problem

V. G. Melnikov, N. A. Dudarenko

St. Petersburg National Research University of Information Technologies, Mechanics, and Optics, St. Petersburg, Russia
Full-text PDF (663 kB) Citations (5)
References:
Abstract: New criteria for root-clustering of the dynamic system matrices in multiply connected regions were presented. A concept of the forbidden region was introduced, and a generalization of the Lyapunov–Jury theorem onto the multiply connected regions was proposed. The necessary and sufficient conditions for root-clustering outside the forbidden region were established as a sequence of matrix inequalities. Construction of the conditions for root-clustering outside the frequency bands and robust root-clustering in multiply connected region was illustrated by way of examples.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 18.01.2012
English version:
Automation and Remote Control, 2014, Volume 75, Issue 8, Pages 1393–1401
DOI: https://doi.org/10.1134/S0005117914080049
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. G. Melnikov, N. A. Dudarenko, “Method of forbidden regions in the dynamic system matrices root clustering problem”, Avtomat. i Telemekh., 2014, no. 8, 48–58; Autom. Remote Control, 75:8 (2014), 1393–1401
Citation in format AMSBIB
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\by V.~G.~Melnikov, N.~A.~Dudarenko
\paper Method of forbidden regions in the dynamic system matrices root clustering problem
\jour Avtomat. i Telemekh.
\yr 2014
\issue 8
\pages 48--58
\mathnet{http://mi.mathnet.ru/at14106}
\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 8
\pages 1393--1401
\crossref{https://doi.org/10.1134/S0005117914080049}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906256710}
Linking options:
  • https://www.mathnet.ru/eng/at14106
  • https://www.mathnet.ru/eng/at/y2014/i8/p48
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:263
    Full-text PDF :46
    References:62
    First page:42
     
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