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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)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu1070 https://www.mathnet.ru/eng/vsgtu/v128/p102
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Abstract page: | 654 | Full-text PDF : | 400 | References: | 42 | First page: | 1 |
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