Hysteretic converters with stochastic parameters

A new class of models of hysteretic converters which generalizes the classical definition of backlash to the case when the curves defining it are non-deterministic and have a random distribution is proposed. In this case an output of 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 it is possible to determine the output at an arbitrary continuous input. The properties of introduced сonverters are investigated and explicit analytic relations determining the first and second moment (as functions of the corresponding parameters) are presented together with illustrative examples.