| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Systems with Hysteresis and Switching
|
|
|---|---|---|
| Article Number | 53 | |
| Number of page(s) | 19 | |
| DOI | https://doi.org/10.1051/mmnp/2020009 | |
| Published online | 17 November 2020 | |
On forward and inverse uncertainty quantification for models involving hysteresis operators
1
Weierstrass Institute (WIAS),
Mohrenstr. 39,
10117
Berlin, Germany.
2
Università degli Studi del Sannio,
P.zza Roma,
21 - 82100
Benevento, Italy.
3
Università di Napoli Federico II,
Via Claudio,
21- 80125
Napoli, Italy.
* Corresponding author: olaf.klein@wias-berlin.de
Received:
17
December
2018
Accepted:
29
March
2020
Parameters within hysteresis operators modeling real world objects have to be identified from measurements and are therefore subject to corresponding errors. To investigate the influence of these errors, the methods of Uncertainty Quantification (UQ) are applied. Results of forward UQ for a play operator with a stochastic yield limit are presented. Moreover, inverse UQ is performed to identify the parameters in the weight function in a Prandtl-Ishlinskiĭ operator and the uncertainties of these parameters.
Mathematics Subject Classification: 47J40 / 60H30
Key words: Hysteresis / uncertainty quantification
© The authors. Published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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