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.
https://hal.inria.fr/inria-00074002
Contributeur : Rapport de Recherche Inria
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Soumis le : mercredi 24 mai 2006 - 14:16:28
Dernière modification le : vendredi 25 mai 2018 - 12:02:04
Document(s) archivé(s) le : dimanche 4 avril 2010 - 22:10:17
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〉
