Abstract
It is shown that, with increase in the frequency, the properties of an impulse system with any form of modulation other than frequency modulation approach both the properties of a system with amplitude modulation the areas of instantaneous impulses in which are equal to the areas of the impulse of a real system and the properties of a continuous system obtained by replacing the impulse element with a continuous one that reflects the "useful" component of the impulses. It is shown that the Lyapunov function establishing the exponential stability of one of these systems establishes exponential stability of the other two systems and that the free processes in impulse systems get arbitrarily close to processes in a continuous system as T→0.
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