Geodesic
Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 128 (2012) no. 3, pp. 102-113 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{VSGTU_2012_128_3_a9,
     author = {V. E. Zoteev and M. A. Romanyuk},
     title = {Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {102--113},
     year = {2012},
     volume = {128},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_128_3_a9/}
}
TY  - JOUR
AU  - V. E. Zoteev
AU  - M. A. Romanyuk
TI  - Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2012
SP  - 102
EP  - 113
VL  - 128
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2012_128_3_a9/
LA  - ru
ID  - VSGTU_2012_128_3_a9
ER  - 
%0 Journal Article
%A V. E. Zoteev
%A M. A. Romanyuk
%T Parametrical identification of the mathematical model in the form of fraction-rational dependencies on the basis of difference equations
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2012
%P 102-113
%V 128
%N 3
%U http://geodesic.mathdoc.fr/item/VSGTU_2012_128_3_a9/
%G ru
%F VSGTU_2012_128_3_a9
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. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 128 (2012) no. 3, pp. 102-113. http://geodesic.mathdoc.fr/item/VSGTU_2012_128_3_a9/

[1] Vibrations in Engineering, Handbook in 6 Vols, v. 1, Mashinostroenie, Moscow, 1978, 352 pp.; v. 2, Mashinostroenie, Moscow, 1979, 351 pp.

[2] Zoteev V. E., Parametric identification of dissipative mechanical systems based on difference equationsed. . V. P. Radchenko, Mashinostroenie-1, Moscow, 2009, 344 pp.

[3] Panovko A. G., Fundamentals of applied theory of vibrations and shock, Mashinostroenie, Leningrad, 1976, 320 pp.

[4] Popova D. N., Zoteev V. E., “Development and research of the parametric linear discrete model for amplitude-frequency response of a mechanical system with linear-viscous friction”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2007, no. 2(15), 179–182 | DOI

[5] Pisarenko G. S., Matveev V. V., Yakovlev A. P., Methods of determining the vibration-damping characteristics of elastic systems, Naukova Dumka, Kiev, 1976, 88 pp. | Zbl

[6] Zoteev V. E., “Convergence analysis of the iterative procedure for coefficients difference equation calculating”, Proceedings of the Sixth All-Russian Scientific Conference with international participation (1–4 June 2009). Part 4, Matem. Mod. Kraev. Zadachi, SamGTU, Samara, 2009, 47–54

[7] Zoteev V. E., “On convergence of iteration procedure for mean-square estimation of coefficients of a linear parametric discrete model”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2009, no. 1(18), 133–141 | DOI