Properties of the Preisach Model for Hysteresis

  • As shown by Krasnosel" skii, the classical Preisach model allows to construct a hysteresis operator Wbetween spaces of real functions of time. This construction, via the definition of a measure mü in the so-called Preisach plane, is recalled. Characterizations in terms of mü 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.

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Author:Martin Brokate, A. Visintin
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6324
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (30)
Document Type:Preprint
Language of publication:English
Year of Completion:1988
Year of Publication:1988
Publishing Institute:Technische Universität Kaiserslautern
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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