Geodesic
Numerical method of estimation of parameters
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 3, pp. 556-580

Voir la notice de l'article provenant de la source Math-Net.Ru

The main problem of mathematical simulation is the problem of nonlinear estimation of parameters of the different physical systems. The article contains new numerical method of parameters estimation of the nonlinear differential operator of the second order with the dissipative force, proportional to $n$-motion speed level assessment. Mean square estimation of coefficients of the generalized regression model constructed taking into account the difference equations describing results of measurements of a pulse response of system is the cornerstone of the numerical method. Two landmark procedure of differentiated estimation of parameters of dynamic process realized in a method allow to provide high adequacy of the constructed model to data of an experiment. Application of the developed numerical method allows to increase significantly (several times) the accuracy of estimates of parameters of the nonlinear differential operator in comparison with the known methods due to elimination of the offset in estimates caused by use of approximation in case of simulation of an envelope of vibration amplitudes.
Keywords: nonlinear differential operator, difference equations, generalized regression model, nonlinear regression, mean square estimation.
Mots-clés : dissipative force proportional 
@article{VSGTU_2017_21_3_a10,
     author = {V. E. Zoteev and E. D. Stukalova and E. V. Bashkinova},
     title = {Numerical method of estimation of parameters},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {556--580},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a10/}
}
TY  - JOUR
AU  - V. E. Zoteev
AU  - E. D. Stukalova
AU  - E. V. Bashkinova
TI  - Numerical method of estimation of parameters
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2017
SP  - 556
EP  - 580
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a10/
LA  - ru
ID  - VSGTU_2017_21_3_a10
ER  - 
%0 Journal Article
%A V. E. Zoteev
%A E. D. Stukalova
%A E. V. Bashkinova
%T Numerical method of estimation of parameters
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2017
%P 556-580
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a10/
%G ru
%F VSGTU_2017_21_3_a10
V. E. Zoteev; E. D. Stukalova; E. V. Bashkinova. Numerical method of estimation of parameters. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 21 (2017) no. 3, pp. 556-580. http://geodesic.mathdoc.fr/item/VSGTU_2017_21_3_a10/