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Existence of magnetization-dependent Preisach models

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1 Author(s)
Della Torre, E. ; Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA

I. D. Mayergoyz (1986) has shown that the necessary and sufficient conditions for a hysteretic process can be described 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. Both models require the wiping-out property, but the moving model requires the skew-congruency property, and the product model requires nonlinear congruency.

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Magnetics, IEEE Transactions on  (Volume:27 ,  Issue: 4 )