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
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IssuesArchive of Issues2012-4pp.413-422

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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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
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