Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities

被引：0

作者：

Brokate, M ^{[1
]}

Collings, I

Pokrovski, AV

Stagnitti, F

机构：

[1] Tech Univ Munich, Zentrum Math, D-80290 Munich, Germany

[2] Deakin Univ, Sch Comp & Math, Geelong, Vic 3217, Australia

[3] Natl Univ Ireland Univ Coll Cork, Inst Nonlin Sci, Cork, Ireland

[4] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

[5] Deakin Univ, Sch Ecol & Envir, Warrnambool 3217, Australia

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2000年 / 19卷 / 02期

关键词：

nonlinear dynamical systems; almost periodic oscillations; hysteresis nonlinearities; asymptotic stability;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：469 / 487

页数：19

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