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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 3(28), Pages 102–113
DOI: https://doi.org/10.14498/vsgtu1070
(Mi vsgtu1070)
 

Mathematical Modeling

Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations

V. E. Zoteev, M. A. Romanyuk

Samara State Technical University, Samara, Russia (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The numerical method of parametrical identification of the mathematical model in the form of fraction-rational functional dependencies is considered. The method is based on iteration procedure for mean-square estimation of coefficients of linear parametric discrete models in the form of stochastic difference equations. Such an approach to solving the problem of identification of the fraction-rational functional dependencies can ensure a high adequacy of the models, and as a consequence, achieve high accuracy of estimating of the models parameters.
Keywords: parametrical identification, difference equations, iterative process, mean-square approximation, fraction-rational functional dependence.
Original article submitted 02/V/2012
revision submitted – 26/VIII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.962.24+519.246
MSC: Primary 65C20; Secondary 65P40, 34C15, 37M05
Language: Russian
Citation: V. E. Zoteev, M. A. Romanyuk, “Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 102–113
Citation in format AMSBIB
\Bibitem{ZotRom12}
\by V.~E.~Zoteev, M.~A.~Romanyuk
\paper Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 3(28)
\pages 102--113
\mathnet{http://mi.mathnet.ru/vsgtu1070}
\crossref{https://doi.org/10.14498/vsgtu1070}
\zmath{https://zbmath.org/?q=an:1326.65016}
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  • https://www.mathnet.ru/eng/vsgtu/v128/p102
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    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :400
    References:42
    First page:1
     
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