Journal of Applied Mathematics and Mechanics (about journal) 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)

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Total articles in the database: 10390
In Russian (): 9591
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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
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