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Model. Anal. Inform. Sist., 2012, Volume 19, Number 1, Pages 60–68 (Mi mais213)  

This article is cited in 3 scientific papers (total in 3 papers)

Automatic control systems modeling by Volterra polynomials

S. V. Solodusha

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Irkutsk

Abstract: The problem of the existence of the solutions of polynomial Volterra integral equations of the first kind of the second degree is considered. An algorithm of the numerical solution of one class of Volterra nonlinear systems of the first kind is developed. Numerical results for test examples are presented.

Keywords: Volterra equations of the first kind; nonlinear integral inequalities; system of automatic control

Full text: PDF file (493 kB)
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UDC: 517.968+519.64
Received: 22.07.2011

Citation: S. V. Solodusha, “Automatic control systems modeling by Volterra polynomials”, Model. Anal. Inform. Sist., 19:1 (2012), 60–68

Citation in format AMSBIB
\Bibitem{Sol12}
\by S.~V.~Solodusha
\paper Automatic control systems modeling by Volterra polynomials
\jour Model. Anal. Inform. Sist.
\yr 2012
\vol 19
\issue 1
\pages 60--68
\mathnet{http://mi.mathnet.ru/mais213}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Solodusha S.V., “Chislennoe modelirovanie nelineinykh dinamicheskikh sistem s vektornym vkhodom kvadratichnymi polinomami volterra”, Vestnik yuzhno-uralskogo gosudarstvennogo universiteta. seriya: matematika. mekhanika. fizika, 2012, no. 34, 53–59  mathnet  zmath  elib
    2. N. M. Yaparova, “Chislennoe modelirovanie reshenii obratnoi granichnoi zadachi teploprovodnosti”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 6:3 (2013), 112–124  mathnet
    3. S. V. Solodusha, “Identification of input signals in integral models of one class of nonlinear dynamic systems”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 30 (2019), 73–82  mathnet  crossref
  • Моделирование и анализ информационных систем
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