A flexible rotor system has a coupled structure with a flexible rotor and a drive/effector. We have examined bifurcation phenomena of the system by an experiment and a simulation. As a result, it has been clarified that the jump phenomena occur in the rotating speed under mechanical resonance. This paper shows a sufficient condition for stabilization of an
M-D-K-system which has continuously bounded time-varying coefficients, and proposes a control method which eliminates the jump phenomena in the rotating speed by using torque. The numerical discussion is also given.
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