Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 7, Pages 53–59 (Mi vyurm122)  

Mathematics

Numerical simulation of nonlinear dynamic systems with vector input by quadratic Volterra polynomials

S. V. Solodusha

Melentiev Energy Systems Institute SB RAS
References:
Abstract: Second degree quadratic polynomial Volterra integral equations of the first kind are considered. Such equations arise in the automatic control problem of a nonlinear dynamic system. An adaptive algorithm based on feedback is developed. Results of test calculations for the reference heat exchanger model are produced.
Keywords: nonlinear dynamic system, polynomial Volterra integral equation of the first kind, heat exchange.
Received: 14.05.2012
Document Type: Article
UDC: 517.968; 519.642
Language: Russian
Citation: S. V. Solodusha, “Numerical simulation of nonlinear dynamic systems with vector input by quadratic Volterra polynomials”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 7, 53–59
Citation in format AMSBIB
\Bibitem{Sol12}
\by S.~V.~Solodusha
\paper Numerical simulation of nonlinear dynamic systems with vector input by~quadratic Volterra polynomials
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 7
\pages 53--59
\mathnet{http://mi.mathnet.ru/vyurm122}
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