This article is cited in 1 paper

MECHANICS

The stabilization of program motions of balanced gyrostat

S. P. Bezglasnyi, M. A. Khudyakova

Korolev Samara State Aerospace University, Samara, Russia

Abstract: We consider program motion of balanced gyrostat. We solve the problem of construction asimptotically stability program motion. The program 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.

Keywords: balanced gyrostat, coaxial bodies, programm motion, functions with constant sings, Lyapunov's function.

UDC: 62.534(031)

MSC: 74H45

Received: 06.09.2010

DOI: 10.20537/vm100404