Stability with respect to a specified number of variables (Q1093393)

The stability with respect to a specified number of variables (specified quantitatively) is considered, the set of which changes depending on the initial conditions. The stability conditions of the form considered are derived using the Lyapunov-function method. The problem of the quenching of rotational motions with respect to the centre of mass of an asymptotic solid is examined; it is shown that the ``twist'' of a body with respect to one of the principal axes of its ellipsoid of inertia is possible using only one ``fixed jet engines'' for any large initial perturbations.