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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 8, Pages 105–117 (Mi fpm921)  
This article is cited in 5 scientific papers (total in 5 papers)

Singular sets and dynamic properties of bilinear control systems

V. N. Zhermolenko

Gubkin Russian State University of Oil and Gas
Full-text PDF (147 kB) Citations (5)
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Abstract: The paper deals with qualitative methods of investigation of dynamic systems with control. Classification of singular sets of two-dimensional bilinear control systems is proposed. Constructive criteria of presence of different kinds of singular sets in the phase portrait are obtained. Dependence of dynamic properties of systems such as oscillation, stability, instability, and controllability on the types of singular sets is investigated. Analytical conditions under which analysis of above properties is relatively simple are obtained.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 2, Pages 6623–6630
DOI: https://doi.org/10.1007/s10958-007-0498-2
Bibliographic databases:
UDC: 531.3:62-50
Language: Russian
Citation: V. N. Zhermolenko, “Singular sets and dynamic properties of bilinear control systems”, Fundam. Prikl. Mat., 11:8 (2005), 105–117; J. Math. Sci., 147:2 (2007), 6623–6630
Citation in format AMSBIB
\Bibitem{Zhe05}
\by V.~N.~Zhermolenko
\paper Singular sets and dynamic properties of bilinear control systems
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 8
\pages 105--117
\mathnet{http://mi.mathnet.ru/fpm921}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2226754}
\zmath{https://zbmath.org/?q=an:1151.93366}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 147
\issue 2
\pages 6623--6630
\crossref{https://doi.org/10.1007/s10958-007-0498-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35549006722}
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  • https://www.mathnet.ru/eng/fpm/v11/i8/p105
    • 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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