Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities

M. Brokate; I. Collings; A. V. Pokrovskiǐ; F. Stagnitti

Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities

M. Brokate
, I. Collings
, A. V. Pokrovskiǐ
, F. Stagnitti

Chair of Numerical Mathematics and Control Theory (2008 — 2025)

Deakin University
University College Cork
Institute for Nuclear Research of the Russian Academy of Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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

Cite this

@article{aed94cc1865f4c22a36c813c0fb5285c,

title = "Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities",

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.",

keywords = "Almost periodic oscillations, Asymptotic stability, Hysteresis nonlinearities, Nonlinear dynamical systems",

author = "M. Brokate and I. Collings and Pokrovskiǐ, \{A. V.\} and F. Stagnitti",

year = "2000",

language = "English",

volume = "19",

pages = "469--487",

journal = "Zeitschrift fur Analysis und ihre Anwendung",

issn = "0232-2064",

publisher = "European Mathematical Society Publishing House",

number = "2",

}

TY - JOUR

T1 - Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities

AU - Brokate, M.

AU - Collings, I.

AU - Pokrovskiǐ, A. V.

AU - Stagnitti, F.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - Almost periodic oscillations

KW - Asymptotic stability

KW - Hysteresis nonlinearities

KW - Nonlinear dynamical systems

UR - https://www.scopus.com/pages/publications/26444529547

M3 - Article

AN - SCOPUS:26444529547

SN - 0232-2064

VL - 19

SP - 469

EP - 487

JO - Zeitschrift fur Analysis und ihre Anwendung

JF - Zeitschrift fur Analysis und ihre Anwendung

IS - 2

ER -

Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities

Abstract

Keywords

Other files and links

Fingerprint

Cite this