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Numerical Functional Analysis and Optimization Volume 29, 2008 - Issue 1-2
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Original Articles

Identification of Preisach-Type Hysteresis Operators

Jan Koutný Mathematical Institute, Charles University, Praha, Czech Republic
,
Martin Kružík Institute of Information Theory and Automation, Academy of Sciences, Praha, Czech Republic; Department of Physics, Faculty of Civil Engineering, Czech Technical University, Praha, Czech Republic
,
Andrew J. Kurdila Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA
&
Tomáš Roubíček Mathematical Institute, Charles University, Praha, Czech Republic; Institute of Information Theory and Automation, Academy of Sciences, Praha, Czech RepublicCorrespondence[email protected]
Pages 149-160 | Published online: 27 Feb 2008
 
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Abstract

Identification of a Preisach-type operator using suitable fixed ridge functions is shown to be a well-posed problem, and its discretization is proved to converge and is implemented by an adaptive manner.

AMS Subject Classification:

ACKNOWLEDGMENTS

We thank Prof. Martin Brokate and Dr. Pavel Krejčí for fruitful discussions. Besides, M.K., A.K., and T.R. gratefully acknowledge the support of the Air Force Office of Scientific Research (AFORS), Eglin Air Force Base, and the University of Florida. M.K. is also thankful for the support from the grants A 107 5402 (GA AV ČR) and VZ 6840770021 (MŠMT ČR) and T.R. recognizes the support from the grants 201/06/0352 (GA ČR) and MSM 21620839 and LC 06052 (MŠMT ČR). This work was also partly created within the EU project MRTN-CT-2004-505226 “Multi-scale modelling and characterisation for phase transformations in advanced materials.” A.K. and T.R. also wish to thank the Joint Unmanned Systems Test, Experimentation, and Research (JOUSTER) Center, contract no. N61339-04-C-0062.

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