Abstract
We present some sufficient conditions for the asymptotic stability of forced almost-periodic 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.
| Original language | English |
|---|---|
| Pages (from-to) | 469-487 |
| Number of pages | 19 |
| Journal | Zeitschrift fur Analysis und ihre Anwendung |
| Volume | 19 |
| Issue number | 2 |
| State | Published - 2000 |
Keywords
- Almost periodic oscillations
- Asymptotic stability
- Hysteresis nonlinearities
- Nonlinear dynamical systems