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Nonlinear Resonance in Systems with Hysteresis

Abstract : A general approach is suggested for the analysis of nonlinear resonance in control systems including an integral linear term and a nonlinear term with hysteresis. This approach uses a special property of nonlinear terms which is valid for many important classes of hysteresis operators. For systems with such hysteresis nonlinearities, we introduce a method to derive conditions for the existence of forced oscillations and (for systems with a parameter) of nonlinear resonance at infinity.
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https://hal.inria.fr/inria-00074002
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Submitted on : Wednesday, May 24, 2006 - 2:16:28 PM
Last modification on : Friday, February 4, 2022 - 3:10:26 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:10:17 PM

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  • HAL Id : inria-00074002, version 1

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Pierre-Alexandre Bliman, Alexander M. Krasnosel'Skii, Michel Sorine, Alexander A. Vladimirov. Nonlinear Resonance in Systems with Hysteresis. [Research Report] RR-2689, INRIA. 1995. ⟨inria-00074002⟩

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