0382336 - MÚ 2013 RIV US eng J - Článek v odborném periodiku
Krejčí, Pavel
The Preisach hysteresis model: Error bounds for numerical identification and inversion.
Discrete and Continuous Dynamical systems - Series S. Roč. 6, č. 1 (2013), s. 101-119. ISSN 1937-1632. E-ISSN 1937-1179
Grant CEP: GA ČR GAP201/10/2315
Institucionální podpora: RVO:67985840
Klíčová slova: hysteresis * Preisach model * error bounds
Kód oboru RIV: BA - Obecná matematika
Web výsledku:
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=7779DOI: https://doi.org/10.3934/dcdss.2013.6.101

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.
Trvalý link: http://hdl.handle.net/11104/0212582