Stabilization of non-conservative system motion by stochastic and deterministic excitement

Linear non-conservative mechanical o system is considered. Both stochastic and deterministic excitement act on this system. Possibility of investigated to broaden in space the parameters of stability area due to this excitement. An approach is based on using the variables exchange. The problem of Ziegler’s pendulum equilibrium stabilization is solved as an example. Parametric excitement is realized by means of vibrating the pendulum base. It is shown that stabilization effect will be significant if a derivative of stochastic process has large enough dispersity; in case of deterministic excitement there is a high frequency in the spectrum.