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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, Volume 8, Issue 4, Pages 44–52
DOI: https://doi.org/10.18500/1816-9791-2008-8-4-44-52 (Mi isu131) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mechanics

The stabilization of program motions of firm body on a moving platform

S. P. Bezglasnyi, O. A. Mysina

Samara State Aerospace University, Chair of Theoretical Mechanics
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DOI: https://doi.org/10.18500/1816-9791-2008-8-4-44-52
Abstract: We consider firmbody with fixed point on amoving 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 Lyapunovs functions having constant signs derivatives.
Key words: mechanical system, stabilization, program motion, Lyapunov's function, limiting functions, rigid body.
Document Type: Article
UDC: 62.534(031)
Language: Russian
Citation: S. P. Bezglasnyi, O. A. Mysina, “The stabilization of program motions of firm body on a moving platform”, Izv. Saratov Univ. Math. Mech. Inform., 8:4 (2008), 44–52
Citation in format AMSBIB
\Bibitem{BezMys08}
\by S.~P.~Bezglasnyi, O.~A.~Mysina
\paper The stabilization of program motions of firm body on a~moving platform
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2008
\vol 8
\issue 4
\pages 44--52
\mathnet{http://mi.mathnet.ru/isu131}
\crossref{https://doi.org/10.18500/1816-9791-2008-8-4-44-52}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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