In the paper there are presented the applied theory elements of new basic models of vibration-proof systems with additional controlled devices of intermittent functioning – a mechanism of connection imposition and a pulse trap. 
 The ultimate options of control resulting in jumping changes of a system structure when control occasionally increases sharply and becomes a zero result. The sequential alternation of control data defines so-called an indirect pulse control of the parameters of damping and stiffness of an additional (controlled) elastic-damping link of intermittent action. At that, irrespective of the type of the controlled links used, such as a damper of viscous resistance, a friction damper or elastic damper the achieved effect of vibration protection under all other equal conditions will be equal. 
 These controlled links imitate the operation of connection imposition mechanism, that is, they block occasionally a vibration protection system that allows improving considerably its dynamic properties at the expense of a new parameter defining the length of such blocks. In particular, it is possible to consider also the imitation of the operation of a pulse trap realizing instant (pulse) blocks of the system as a result of which the rate of the object protected is occasionally zero.
 Basic investigation results of dynamic properties of these systems:
 - Resonance phenomena are eliminated (in steady-state oscillation modes of the object oscillation decrease monotonously with the frequency increase of kinematic harmonic disturbance);
 - Transients caused by initial conditions or random fluctuations of external disturbances damp within the limits of one period of impact, that is, the process is carried out which is characterized as “one shock – one oscillation”; 
 - System invariance with respect to power disturbances as a result of periodic blockings increases considerably and, as a consequence it is possible to decrease the stiffness of a bearing elastic component without fear for stability loss; 
 - Energy costs for realization of indirect pulse control are connected only with the “switch on-switch off” process which may be programmed through components of the system state in a relative motion by means of the actualization of system design properties.
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