Nonlinear Resonance in Systems with Hysteresis - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1995

Nonlinear Resonance in Systems with Hysteresis


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.
Fichier principal
Vignette du fichier
RR-2689.pdf (303.2 Ko) Télécharger le fichier

Dates and versions

inria-00074002 , version 1 (24-05-2006)


  • HAL Id : inria-00074002 , version 1


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⟩
130 View
634 Download


Gmail Facebook Twitter LinkedIn More