Abstract
The idea of passive stabilization of a dynamical system whose motion is not asymptotically stable was advanced for the first time in the monograph [1] by introducing supplementary degrees of freedom. Based on this idea, Savchenko [2] discussed the stabilization of Hamiltonian systems by a nonlinear method (namely the method of passive stabilization by defreezing parameters). The authors of this paper investigate the effectiveness of its application to a Lagrangian system by a mechanical model which has independent scientific meaning. A comparison is also made between this model and another similar mechanical model. The problem of optimal passive stabilization is solved at the end of the paper. It is shown that this problem is closely connected with the resonance situations.
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