Hysteretic Converters with Stochastic Parameters

A new class of models of hysteretic converters, generalizing the classical backlash definition to the case where the curves defining it are non-deterministic and have a random distribution, is proposed. In this case, the output of the stochastic converter is defined as a random process. The correctness of the definition of the corresponding converter in terms of a special limit construction is proved. Using such a definition, we can determine the output at an arbitrary continuous input. The properties of the introduced converters are investigated and explicit analytic relations determining the first and second moment (as functions of the corresponding parameters) are presented together with illustrative examples.