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Avtomatika i Telemekhanika, 1980, Issue 8, Pages 48–55 (Mi at7151)  

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

Deterministic Systems

Stability conditions of homogeneous systems with arbitrary switches of the operating modes

A. F. Filippov

Moscow
Abstract: The paper considers a two-dimensional homogeneous system either with arbitrary switches from one of given operating modes to any other or with coefficients varying in an unknown way between given boundaries. The conditions are found which are necessary and sufficient for the system to be asymptotically stable with any modes switches or the coefficient variations.

Received: 30.07.1979
Bibliographic databases:
Document Type: Article
UDC: 62-503.4
Language: Russian
Citation: A. F. Filippov, “Stability conditions of homogeneous systems with arbitrary switches of the operating modes”, Avtomat. i Telemekh., 1980, no. 8, 48–55; Autom. Remote Control, 41:8 (1981), 1078–1085
Citation in format AMSBIB
\Bibitem{Fil80}
\by A.~F.~Filippov
\paper Stability conditions of homogeneous systems with arbitrary switches of the operating modes
\jour Avtomat. i Telemekh.
\yr 1980
\issue 8
\pages 48--55
\mathnet{http://mi.mathnet.ru/at7151}
\zmath{https://zbmath.org/?q=an:0484.93059}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 41
\issue 8
\pages 1078--1085
Linking options:
  • https://www.mathnet.ru/eng/at7151
  • https://www.mathnet.ru/eng/at/y1980/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
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