Title page for ETD etd-04262001-125037


Type of Document Dissertation
Author Joseph, Daniel Scott
Author's Email Address dajoseph@math.vt.edu
URN etd-04262001-125037
Title Parameter Identification for the Preisach Model of Hysteresis
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Rogers, Robert C. Committee Chair
Beattie, Christopher A. Committee Member
Borggaard, Jeffrey T. Committee Member
Rossi, John F. Committee Member
Wheeler, Robert L. Committee Member
Keywords
  • Least squares
  • scalar model
  • Preisach measure
Date of Defense 2001-04-24
Availability unrestricted
Abstract
Hysteresis, defined as a rate independent memory

effect, is a phenomenon that occurs in many

physical systems. The effect is sometimes

desired, sometimes a nuisance, sometimes cata-

strophic, but in every case we must understand

hysteresis if we are to better understand the

system itself.

This work introduces a method of parameter

identification for the Preisach model of hyster-

esis. This identification method is explored

in both the setting of non-singular measures

and the setting of singular measures.

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