Second-order Preisach model of scalar hysteresis

A second-order Preisach model of scalar hysteresis is proposed and investig ated. Parameter functions of this model are identified using transition cur ves of up to the third order. Wiping-out properly and the property of invar iance in the change of minor loop shape due to elimination of the first inp ut extremum are shown to be the necessary and sufficient conditions for the representation of a given scalar hysteresis relation by the proposed model . (C) 2000 Elsevier Science B.V. All rights reserved.