Several problems of stabilization of the equilibrium position of a mechanical system with the set potential forces using controlling forces of another structure are considered. For a special class of nonlinear potential systems, where the linear approximation consists of blocks with identical Poincare factors, the solution of the problem of gyroscopic stabilization is obtained. For linear potential systems with the isolated equilibrium state, necessary and sufficient conditions of stabilization by gyroscopic and circular forces are obtained. For nonlinear systems with the non-stationary potential, where the decomposition into series begins with a positively defined on the average form not lower than the fourth degree, the possibility of stabilization by joining any linear dissipative forces with full dissipation is proved.
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