 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| Ye.A. Kolpakova and N.N. Subbotina, "Numerical solution of optimization problems in vibrational mechanics using the characteristics method," J. Appl. Math. Mech. 74 (5), 593-598 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
5 |
Pages |
593-598 |
| Title |
Numerical solution of optimization problems in vibrational mechanics using the characteristics method |
| Author(s) |
Ye.A. Kolpakova (Ekaterinburg, Russia, eakolpakova@gmail.com)
N.N. Subbotina (Ekaterinburg, Russia) |
| Abstract |
Optimal control problems with a terminal pay-off functional are considered. The dynamics of the control system consists of rapid oscillatory and slow non-linear motions. A numerical method for solving these problems using the characteristics of the Hamilton-Jacobi-Bellman equation is presented. Estimates of the accuracy of the method are obtained. A theorem is proved which enables one to determine the class of functions containing the optimal preset control to be obtained. The results of the numerical solution of a terminal optimization problem for a fast non-linear pendulum are presented. |
| Received |
18 December 2008 |
| Link to Fulltext |
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