 | | 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: | | 10522 |
| In Russian (ÏÌÌ): | | 9723
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 79, Issue 1 / 2015 | Next article >> |
| A.N. Sirotin, "A ranking alternative of the extremals in the problem of the optimal reorientation of an axisymmetric rigid body," J. Appl. Math. Mech. 79 (1), 9-16 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
1 |
Pages |
9-16 |
| DOI |
10.1016/j.jappmathmech.2015.04.012 |
| Title |
A ranking alternative of the extremals in the problem of the optimal reorientation of an axisymmetric rigid body |
| Author(s) |
A.N. Sirotin (Moscow, Russia, asirotin2@yandex.ru) |
| Abstract |
The problem of the optimal control of the spatial orientation of a rotating rigid body with an axis of symmetry is considered. New geometric properties of the extremals of this variational problem are established in the non-degenerate case. The property of a “collapse” of the extremal field, a ranking alternative and the connection with the family of trigonometric extremals constructed earlier in a similar problem are described in detail. The results obtained are based on an analysis of the system of equations obtained as the result of using the formalism of Pontryagin's maximum principle. |
| Received |
14 January 2013 |
| Link to Fulltext |
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