Nonlinear resonance in systems with hysteresis
β Scribed by P.-A. Bliman; A.M. Krasnosel'skii; M. Surine; A.A. Vladimirov
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 969 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Stability of systems with hysteresis nonlinearities, parametric uncertainty and finite dimensional unmodelled dynamics is considered. Conditions for exponential decay of the signals in the system to an equilibrium position are given. The equilibrium is generally not unique. The stability condition i
This paper deal8 with the phenomenon of nonlinear resonance which occurs in an electrical oscillatory circuit containing a saturable iron core with hysteresis. An analytical expression for the magnetization curve of the iron core is assumed. The amplitude characteristic and the frequency response cu
The complete solution of the dynamical equations is obtained for lumped electrical circuits containing iron-cored inductors subject to magnetic hysteresis, as described by Preisach. The states of the system are shown to be continuous piecewise smooth functions of time if the applied voltages and cur