 | | 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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| V.I. Kalenova and V.M. Morozov, "The reducibility of linear second-order time-varying systems with control and observation," J. Appl. Math. Mech. 76 (4), 413-422 (2012) |
| Year |
2012 |
Volume |
76 |
Issue |
4 |
Pages |
413-422 |
| Title |
The reducibility of linear second-order time-varying systems with control and observation |
| Author(s) |
V.I. Kalenova (Moscow, Russia)
V.M. Morozov (Moscow, Russia) |
| Abstract |
The possibility of reducing a linear non-autonomous system, containing a control and measurements, to a time-independent form using time-dependent linear transformations of the state, control and observation spaces is investigated. Second-order systems, that is, systems with a second derivative with respect to time, explicitly present in the equations of motion, are examined. The motion of a spacecraft in the neighbourhood of a libration point under the action of a controlling light pressure force is considered as an application, as well as the problem of determining the orientation of an artificial Earth satellite using solar sensing element measurements. In the first problem, controllability and, in the second case, observability is established by reducing the equations to a time-independent form. |
| Received |
22 February 2011 |
| Link to Fulltext |
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