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The Preisach hysteresis model: Error bounds for numerical identification and inversion
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SYSNO ASEP 0382336 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The Preisach hysteresis model: Error bounds for numerical identification and inversion Author(s) Krejčí, Pavel (MU-W) RID, SAI, ORCID Source Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 6, č. 1 (2013), s. 101-119Number of pages 19 s. Language eng - English Country US - United States Keywords hysteresis ; Preisach model ; error bounds Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000331201300006 EID SCOPUS 84874142556 DOI https://doi.org/10.3934/dcdss.2013.6.101 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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