Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Bezglasnyi S. P., Mysina O. A. The Stabilization of Program Motions of Firm Body on a Moving Platform. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 4, pp. 44-52. DOI: 10.18500/1816-9791-2008-8-4-44-52

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
17.11.2008
Full text:
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Language: 
Russian
Heading: 
Mechanics
UDC: 
62.534(031)
DOI: 
10.18500/1816-9791-2008-8-4-44-52

The Stabilization of Program Motions of Firm Body on a Moving Platform

Autors: 
Bezglasnyi Sergey Pavlovich, Samara National Research University
Mysina Olga Aleksandrovna, Samara National Research University
Abstract: 

We consider firm body with fixed point on a moving platform. We solve the problem of construction asimptotically stability programm motion. The programm motion can be any function. Control is received in the form the analytical solution. We solve the problem of stabilization by the direct Lyapunov’s method and the method of limiting functions and systems. In this case we can use the Lyapunov’s functions having constant signs derivatives.

Key words: 
mechanical system
stabilization
program motion
Lyapunov’s function
limiting functions
rigid body
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