In the modeling of transducers, especially magnetic transducers, hysteresis may affect performance. Hysteresis models have been improved greatly and are capable of modeling a large variety of rate‐independent phenomena, and are capable of describing minor loops. Of these, the most useful are: the Preisach model, the play model, and the stop model. Coupling these purely magnetic models with other phenomena, such as magnetostriction, enhances the model’s usefulness for transducer applications. This paper will discuss the conditions under which these models may be inverted, and for the invertible media, a technique for inverting them.