PERIODIC OSCILLATIONS IN SYSTEMS WITH HYSTERESIS

PERIODIC OSCILLATIONS IN SYSTEMS WITH HYSTERESIS

We give precise conditions under which the method of harmonic balance will correctly predict the existence of periodic solutions for a system with relay hysteresis. The equation modeling the system is assumed to be of the form Lm[y](t) = f[y](t), t ≥ 0, where Lm is a constant coefficient linear diff...

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Veröffentlicht in:The Rocky Mountain journal of mathematics 1992, Vol.22 (2), p.669-681
Hauptverfasser: MACKI, JACK W., NISTRI, PAOLO, ZECCA, PIETRO
Format: Artikel
Sprache:eng
Schlagworte:
34A60
34K10
Coefficients
differential inclusions
Eigenvalues
Equations
harmonic balance
Hysteresis
Logical givens
Mathematical discontinuity
Mathematical functions
multifunctions
Nonlinearity
Topological vector spaces
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Beschreibung
Zusammenfassung:We give precise conditions under which the method of harmonic balance will correctly predict the existence of periodic solutions for a system with relay hysteresis. The equation modeling the system is assumed to be of the form Lm[y](t) = f[y](t), t ≥ 0, where Lm is a constant coefficient linear differential operator of order m ≥ 2 and f is a possibly discontinuous operator with hysteresis.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181072758