Geodesic
Development of the approaches for solving an inverse problem of external ballistics in various application conditions
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 57 (2019), pp. 76-83

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

The article proposes two approaches for solving an inverse problem of external ballistics. The first approach is based on the iterative method of successive approximations, and allows obtaining the solution to inverse problem with a stated accuracy for any shooting conditions. Simultaneous determining of the angles and direction of shooting makes it possible to reduce a total time of solving the inverse problem. The second approach, which is based on the pre-built approximators for assigned range of variation in the shooting conditions, can significantly simplify and speed up the algorithm for solving the inverse problem of external ballistics. Several types of approximators have been considered: linear approximator, multilayered neural network, radial neural network, and the method of fuzzy decision trees. The best results on the computational accuracy and speed were achieved using the approximator based on a multilayered neural network.
Keywords: external ballistics, inverse problem, iterative algorithm, approximator, neural network. 
@article{VTGU_2019_57_a5,
     author = {S. A. Korolev and A. M. Lipanov and I. G. Rusyak and V. A. Tenenev},
     title = {Development of the approaches for solving an inverse problem of external ballistics in various application conditions},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {76--83},
     publisher = {mathdoc},
     number = {57},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2019_57_a5/}
}
TY  - JOUR
AU  - S. A. Korolev
AU  - A. M. Lipanov
AU  - I. G. Rusyak
AU  - V. A. Tenenev
TI  - Development of the approaches for solving an inverse problem of external ballistics in various application conditions
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2019
SP  - 76
EP  - 83
IS  - 57
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTGU_2019_57_a5/
LA  - ru
ID  - VTGU_2019_57_a5
ER  - 
%0 Journal Article
%A S. A. Korolev
%A A. M. Lipanov
%A I. G. Rusyak
%A V. A. Tenenev
%T Development of the approaches for solving an inverse problem of external ballistics in various application conditions
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2019
%P 76-83
%N 57
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTGU_2019_57_a5/
%G ru
%F VTGU_2019_57_a5
S. A. Korolev; A. M. Lipanov; I. G. Rusyak; V. A. Tenenev. Development of the approaches for solving an inverse problem of external ballistics in various application conditions. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 57 (2019), pp. 76-83. http://geodesic.mathdoc.fr/item/VTGU_2019_57_a5/