Abstract:
The paper provides a formal definition and establishes the properties of a stochastic hysteresis converter — a generalized backlash. Using of a three-stage construction, which includes the sequential determination of input-output correspondences on monotone, piecewise monotone, and continuous inputs, the introduced converter is interpreted as an operator depending on its initial state as a parameter, matching a random process to any permissible input, the parameters of which, in turn, are determined by the properties of the guiding functions of the generalized backlash. The correctness of the converter is proved, explicit formulas for the first and second moment functions are given. The theoretical constructions of the work are illustrated by the results of computational experiments.
