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Abstract
Theorems on stabilization of nonperturbed motion /1/ are used to construct the control moments ensuring the stability of optimal stabilization of the steady state rotations of a rigid body. The stability of permanent axes of a rigid body in a central Newtonian force field was investigated in /2,3/. In the case of motion of a body in force fields more general than the central Newtonian field, the set of permanent axes was determined in /4/ and its stability studied in /5/. Since the system in question is conservative, the steady state rotations are nonasymptotically stable. Their asymptotic stability can be ensured by means of control moments applied to the principal axes of inertia of the rigid body during its motion. In particular, a possibility of stabilizing the motion of a rigid body by means of pendulums was shown in /6/.
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