 | | 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 (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 73, Issue 4 / 2009 | Next article >> |
| S.A. Reshmin, "Bifurcation in a time-optimal problem for a second-order non-linear system," J. Appl. Math. Mech. 73 (4), 403-410 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
4 |
Pages |
403-410 |
| Title |
Bifurcation in a time-optimal problem for a second-order non-linear system |
| Author(s) |
S.A. Reshmin (Moscow, Russia, reshmin@ipmnet.ru) |
| Abstract |
A time-optimal problem for a second-order non-linear system with one degree of freedom is considered. The system describes the dynamics of an inertial object under the action of a control force of limited modulus which appears linearly and a perturbing force which is periodic in coordinate. The terminal set represents points on the abscissa of the phase plane, and the distance between two neighbouring points is equal to the period of the perturbing force. An estimate is obtained for the amplitude of the control for which the control has the simplest structure: the number of switchings is not greater than one. |
| Received |
08 December 2008 |
| Link to Fulltext |
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