A PWL circuit approach to the definition of a ε-approximation model of scalar static hysteresis

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 49, Issue 9, 2002, Pages 1290-1308

  Cincotti, Silvano ^a,b   Daneri, Ivano ^b  

^a IEEE   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

Arbitrary precision approximation; Hysteresis; Piecewise linear circuit

Indexed keywords

ARBITRARY-PRECISION APPROXIMATION; FINITE-PRECISION ARITHMETIC; IDENTIFICATION THEOREM; SCALAR STATIC HYSTERESIS;

APPROXIMATION THEORY; HYSTERESIS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PIECEWISE LINEAR TECHNIQUES; THEOREM PROVING;

ELECTRIC NETWORK ANALYSIS;

EID: 0036746040     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2002.802390     Document Type: Article

References (36)

1. R. M. Bozorth, Ferromagnetism. New York: D. Van Nostrand, 1955.
2. B. A. Strukov, Ferroelectric Phenomena in Crystals: Physical Foundations. New York: Springer-Verlag, 1998.
3. E. O. Attinger, "Wall properties of veins," IEEE Trans. Biomed. Eng., vol. 16, pp. 253-261, Oct. 1969.
4. R. Dornbusch and S. Fischer, Macroeconomics. New York: McGraw-Hill, 1990.
5. S. R. G. Jones, The Persistence of Unemployment: Hysteresis in Canadian Labour Markets. Montreal, Canada: McGill Queens Univ. Press, 1995.
6. M. P. Kennedy and L. O. Chua, "Hysteresis in electronic circuits: A circuit theorist's perspective," Int. J. Circuit Theory Appl., vol. 19, no. 5, pp. 471-515, 1991.
7. M. J. Ogorzalek, "Multivalued characteristic in electronic circuit: A unifying approach," IEEE Trans. Circuits Syst. II, vol. 47, pp. 726-735, Aug. 2000.
8. D. C. Jiles and D. L. Atherton, "Ferromagnetic hysteresis," IEEE Trans. Magn., vol. 19, pp. 2186-2185, Sept. 1983.
9. L. O. Chua and S. C. Bass, "A generalized hysteresis model," IEEE Trans. Circuits Syst., vol. CAS-19, pp. 36-48, Jan. 1972.
10. M. Parodi, M. Storace, and S. Cincotti, "A PWL ladder circuit which exhibits hysteresis," Int. J. Circuit Theory Appl. vol. 22, pp. 513-526, 1994.
11. ____, "Static and dynamic features in a PWL circuit," Int. J. Circuit Theory Appl., vol. 24, pp. 183-199, 1996.
12. S. Cincotti and I. Daneri, "Neural network identification of a nonlinear circuit model of hysteresis," Electron. Lett., vol. 33, pp. 1154-1156, 1997.
13. S. Bobbio and G. Marrucci, "A possible alternative to Preisach's model of static hysteresis," Nuovo Cimento, vol. 15, pp. 723-734, 1993.
14. S. Cincotti, M. Marchesi, and A. Serri, "A neural network model of parametric nonlinear hysteretic inductors," IEEE Trans. Magn., vol. 34, pp. 3040-3043, Sept. 1998.
15. ____, "NN models of hysteretic nonlinear electromagnetic devices under voltages or current supply," IEEE Trans. Magn., 35, pp. 1235-1238, May 1999.
16. S. Cincotti and I. Daneri, "A nonlinear circuit model of hysteresis," IEEE Trans. Magn., vol. 35, pp. 1247-1250, May 1999.
17. S. Cincotti, "Approximation properties of a PWL circuit model of hysteresis," Physica B, vol. 275, no. 1/3, pp. 216-222, 2000.
18. L. K. Jones, "Constructive approximation for neural networks by sigmoidal functions," Proc. IEEE, vol. 78, pp. 1586-1589, Oct. 1990.
19. M. A. Krasnosel'skii and A. V. Pokrovskii, System With Hysteresis. Berlin, Germany: Springer-Verlag, 1989.
20. I. D. Mayergoyz, Mathematical Models of Hysteresis. New York: Springer-Verlag, 1991.
21. A. Visintin, Ed., Models of Hysteresis (Pitman Research Notes in Mathematics Series, n. 286). Harlow, U.K.: Longman, 1993.
22. A. Visintin, Differential Models of Hysteresis (Applied Mathematical Sciences, Vol. 111). Berlin, Germany: Springer-Verlag, 1995.
23. M. Brokate, Hysteresis and Phase Transitions (Applied Mathematical Sciences Vol 121). Berlin, Germany: Springer-Verlag, 1996.
24. G. Bertotti, Hysteresis in Magnetism (for Physicists, Materials Scientists, and Engineers). Boston, MA: Academic, 1998.
25. E. D. Torre, Magnetic Hysteresis. Piscataway, NJ: IEEE Press, 1999.
26. C. Visone, C. Serpico, I. D. Mayergoyz, M. W. Huang, and A. A. Adly, "Neural-Preisach-type models and their application to the identification of magnetic hysteresis from noisy data," Physica B, vol. 275, pp. 223-227, 2000.
27. G. Friedman, "Second-order Preisach model of scalar hysteresis," Physica B, vol. 275, no. 1/3, pp. 173-178, 2000.
28. I. Daneri, "A non-linear circuit model of hysteresis phenomena," Ph.D. dissertation, Univ. Genoa, Genoa, Italy, 1998.
29. M. Brokate, "Some mathematical properties of the Preisach model for hysteresis," IEEE Trans. Magn., vol. 25, pp. 2922-2924, May, 1989.
30. G. Biorci and D. Pescetti, "Analytical theory of the behavior of ferromagnetic materials, II," Nuovo Cimento, vol. VII, no. 6, pp. 829-842, 1958.
31. N. Wiener, Cybernetics. New York: Wiley, 1961.
32. M. H. Rashid, SPICE for Circuits and Electronics Using PSPICE. Englewood Cliffs, NJ: Prentice-Hall, 1990.
33. L. O. Chua and K. A. Stromsmoe, "Lumped circuit model for nonlinear inductors exhibiting hysteresis loops," IEEE Trans. Circuits Syst., vol. CAS-17, pp. 564-574, Nov. 1970.
34. G. Cybenko, "Approximation by superposition of a sigmoidal function," Math. Control Syst. Signals, vol. 4, pp. 303-314, 1989.
35. I. D. Mayergoyz, "Dynamic Preisach models of hysteresis," IEEE Trans. Magn., vol. 24, pp. 2925-2927, Nov. 1988.
36. G. Bertotti, "Dynamic generalization of the scalar Preisach model of hysteresis," IEEE Trans. Magn., vol. 28, pp. 2599-2601, Sept. 1992.