Properties of the Preisach model for hysteresis. (English) Zbl 0682.47034

As shown by Krasnosel’skij and Pokrovskii, the classical Presach model allows to construct a hysteresis operator W between spaces of real functions of time. This construction, via the definition of a measure \(\mu\) in the so-called Preisach plane, is recalled. Characterizations in terms of \(\mu\) are given for several mapping and continuity properties of W in various function spaces, for the invertibility of W and for the corresponding mapping and continuity properties of the inverse.
Reviewer: M.Brokate


47H99 Nonlinear operators and their properties
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