Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities

Authors
Brokate, M Collings, I Pokrovski, AV Stagnitti, F
Citation
M. Brokate et al., Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities, Z ANAL ANWE, 19(2), 2000, pp. 469-487
Citations number
12
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
19
Issue
2
Year of publication
2000
Pages
469 - 487
Database
ISI
SICI code
0232-2064(2000)19:2<469:ASAOIS>2.0.ZU;2-U
Abstract
We present some sufficient conditions for the asymptotic stability of force d almost-periodic oscillations in nonlinear systems subject to small hyster esis perturbations. The main technical restriction on hysteresis nonlineari ty comes to a contraction-type property, which holds for some classical mod els of hysteresis. Also we require a special stability property of the unpe rturbed system in the sense of Lyapunov and the bounded input - bounded out put.