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Identification of hysteresis loops. (English) Zbl 0659.65125

Using Preisach’s model of hysteresis, the authors describe the identification of a certain measure which is responsible for the shape of the loop. It is demonstrated that the parameters of the model can be determined from suitable experiments. The method is tested by some instructive experiments.
Reviewer: G.Lippold

MSC:

65Z05 Applications to the sciences
78A25 Electromagnetic theory (general)
35R30 Inverse problems for PDEs
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References:

[1] Krasnoselskii, M. A.; Pokrovskii, A. V., Systems With Hysteresis (1983), Nauka: Nauka Moskow, [Russian] · Zbl 1092.47508
[2] Andronikou, A. M.; Bekey, G. A.; Hadaegh, F. Y., J. Dyn. Syst. Meas. Control, 105, 209 (1983) · Zbl 0532.93016
[3] Bellman, R. E.; Astrom, K.-J., Math. Biosci., 7, 329 (1970)
[4] Biorci, G.; Pescetti, D., Nuovo Cimento, 7, 829 (1958)
[5] Biorci, G.; Pescetti, D., J. Phys. Radium, 20, 233 (1959)
[6] Biorci, G.; Pescetti, D., J. Appl. Phys., 37, 425 (1966)
[7] Preisach, F., Z. Phys., 94, 277 (1935)
[8] Visintin, A., Nonlinear Anal., 9, 977 (1984)
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