We present some sufficient conditions for the asymptotic stability of forced almostperiodic oscillations in nonlinear systems subject to small hysteresis perturbations. The main technical restriction on hysteresis nonlinearity comes to a contraction-type property, which holds for some classical models of hysteresis. Also we require a special stability property of the unperturbed system in the sense of Lyapunov and the bounded input-bounded output.
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M. Brokate, I. Collings, A.V. Pokrovskii, F. Stagnitti, Asymptotically Stable Almost-Periodic Oscillations in Systems with Hysteresis Nonlinearities. Z. Anal. Anwend. 19 (2000), no. 2, pp. 469–487DOI 10.4171/ZAA/962