A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions

H. Logemann; E. P. Ryan; I. Shvartsman

doi:10.1016/j.na.2007.05.025

A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions

H. Logemann, E. P. Ryan, I. Shvartsman

School of Science, Engineering & Technology (Harrisburg)

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

26 Scopus citations

Abstract

A class of differential-delay systems with hysteresis is considered. Conditions ensuring boundedness of solutions and related asymptotic and integrability properties are expressed in terms of data associated with the linear component of the overall system and a Lipschitz constant associated with the hysteretic component.

Original language	English (US)
Pages (from-to)	363-391
Number of pages	29
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	69
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2007.05.025
State	Published - Jul 1 2008

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2007.05.025

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title = "A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions",

abstract = "A class of differential-delay systems with hysteresis is considered. Conditions ensuring boundedness of solutions and related asymptotic and integrability properties are expressed in terms of data associated with the linear component of the overall system and a Lipschitz constant associated with the hysteretic component.",

author = "H. Logemann and Ryan, {E. P.} and I. Shvartsman",

note = "Funding Information: This work was supported by UK EPSRC Grant GR/S94582/01. ",

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AU - Ryan, E. P.

AU - Shvartsman, I.

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AB - A class of differential-delay systems with hysteresis is considered. Conditions ensuring boundedness of solutions and related asymptotic and integrability properties are expressed in terms of data associated with the linear component of the overall system and a Lipschitz constant associated with the hysteretic component.

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A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions

Abstract

All Science Journal Classification (ASJC) codes

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