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EN
ČeštinaEnglish

The Preisach hysteresis model: Error bounds for numerical identification and inversion

Result description

A structure analysis of the Preisach model in a variational setting is carried out by means of an auxiliary hyperbolic equation with memory variable playing the role of time, and amplitude of cycles as spatial variable. Using this representation, we propose an algorithm and derive error estimates for the identification of the Preisach density function and for an approximate inversion of the Preisach operator.

Keywords

hysteresisPreisach modelerror bounds

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Preisach hysteresis model: Error bounds for numerical identification and inversion

  • Original language description

    A structure analysis of the Preisach model in a variational setting is carried out by means of an auxiliary hyperbolic equation with memory variable playing the role of time, and amplitude of cycles as spatial variable. Using this representation, we propose an algorithm and derive error estimates for the identification of the Preisach density function and for an approximate inversion of the Preisach operator.

  • Czech name

    —

  • Czech description

    —

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

    —

Result continuities

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Discrete and Continuous Dynamical systems

  • ISSN

    1937-1632

  • e-ISSN

    —

  • Volume of the periodical

    6

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    101-119

  • UT code for WoS article

    —

  • EID of the result in the Scopus database

    —

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2013

Similar results(10)

Asymptotic behaviour of a Neumann parabolic problem with hysteresisInvestigation of sensitivity of Preisach analysis for nondestructive testingNon-equidistant Grid in Preisach Model