Abstract:
A scheme for controlling oscillations is proposed, in which, within the framework of a coupled system, the van der Pol cycle mode is imposed on a conservative system that admits a family of periodic motions. The acting control is found, the cycle is constructed, the attraction domain of the cycle is determined, and a control law and an algorithm for the asymptotic exit of the coupled system to the cycle mode are given.
Keywords:van der Pol equation, conservative system, oscillation family, control, cycle, stabilization scheme, attraction domain.
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