Abstract
Delayed relay operators are introduced; by integrating them with respect to a Borel measure μ over the half plane ρ of admissible thresholds, the Preisach operator H μ , is then constructed. Memory is represented by means of an antimonotone graph in ρ, which separates relays staying in different states. Relations between Preisach and Prandtl-Ishlinskiĭ operators of play-type are pointed out.
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© 1994 Springer-Verlag Berlin Heidelberg
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Visintin, A. (1994). The Preisach Model. In: Differential Models of Hysteresis. Applied Mathematical Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11557-2_7
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DOI: https://doi.org/10.1007/978-3-662-11557-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08132-3
Online ISBN: 978-3-662-11557-2
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