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 Issues2009-2pp.124-133

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O.A. Peregudova, "Stabilization of the motions of non-autonomous mechanical systems," J. Appl. Math. Mech. 73 (2), 124-133 (2009)
Year 2009 Volume 73 Issue 2 Pages 124-133
Title Stabilization of the motions of non-autonomous mechanical systems
Author(s) O.A. Peregudova (Ul’yanovsk, Russia, peregudovaoa@sv.ulsu.ru)
Abstract The problem of stabilizing the motions of mechanical systems that can be described by non-autonomous systems of ordinary differential equations is considered. The sufficient conditions for stabilizing of the motions of mechanical systems with assigned forces due to forces of another structure are obtained by constructing a vector Lyapunov function and a reference system. Examples of the solution of the problems of stabilizing the rotational motion of an axisymmetric satellite in an elliptic orbit, a non-tumbling gyro horizon, etc. are considered.
Received 02 July 2008
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