Stochastic Preisach operator: definition within the design approach

Abstract

In this paper, we generalize the Preisach model to the case when parameters of elementary relays are random variables. We show that an output state of the stochastic Preisach operator can be treated as a random process. For this random process the first and second statistical moments are obtained in an explicit form. We prove also the correctness of the definition of such an operator. Illustrative numerical examples are also presented and discussed.