Abstract
The sufficient conditions for asymptotic stability and instability of the relative equilibrium position of a mechanical system with holonomic-rheonomic constraints are derived. On the basis of this, new methods of solving the problem of stabilizing the programmed motions of the controlled mechanical systems are proposed. The problem of the stability of the equilibrium position and the programmed motion of a physical pendulum, the horizontal swinging axis of which rotates was a variable angular velocity around a vertical axis, is solved. The problem of controlling the relative motions of a centrifuge-type system by a regulated velocity of rotation of the base is investigated.
Published Version
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