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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010 Issue 2, Pages 81–90 (Mi vuu154)

MECHANICS

About one-axial and tri-axial orientations of coaxial bodys of variable structure

O. A. Mysina

S. P. Korolyov Samara State Aerospace University

Abstract: In work the problem about one-axial and tri-axial orientations of a coaxial bodys of variable structure concerning Konig and any not inertial system of co-ordinates is put. The stabilisation problem dares active board by a principle of the feedback realised, for example, by engines of small draught. Stabilising controls and conditions at which desirable orientation is possible are received. The task in view dared on the basis of a method of functions of Lyapunov and a method of the limiting equations and the limiting systems, allowing to use Lyapunov's functions with constant sings derivatives.

Keywords: one-axial orientation, tri-axial orientations, functions with constant sings, Lyapunov's function.

UDC: 62.534(031)

MSC: 74H45

Received: 22.03.2010

DOI: 10.20537/vm100207



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