EXISTENCE OF MAGNETIZATION-DEPENDENT PREISACH MODELS

Mayergoyz has shown that the necessary and sufficient conditions for a hysteretic process to be describable by a classical Preisach model are that it possesses the wiping-out property and the congruency property. Magnetization-dependent Preisach models also have the wiping-out property but do not possess the congruency property. The necessary and sufficient conditions for a process to be describable by either of two magnetization-dependent models, the product model and the moving model, are presented. The identification problem for both of these models is also addressed.