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Optimalization with Multivalued Mappings: Theory, Applications and Aldorithms
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SYSNO ASEP 0040521 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title On the control of an evolutionary equilibrium in micromagnetics Title K řízení evolučního ekvilibria v mikromagnetismu Author(s) Kočvara, Michal (UTIA-B) RID, ORCID
Kružík, Martin (UTIA-B) RID, ORCID
Outrata, Jiří (UTIA-B) RID, ORCIDSource Title Optimalization with Multivalued Mappings: Theory, Applications and Aldorithms. - Berlin : Springer, 2006 / Dempe S. ; Kalashinikov V. - ISBN 0-387-34220-6 Pages s. 143-168 Number of pages 26 s. Language eng - English Country DE - Germany Keywords coderivatives ; ferromagnetism ; hysteresis ; implict programming techniques ; mathematical programs with equilibrium constraints Subject RIV BA - General Mathematics R&D Projects IAA1075402 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation Optimal control of magnetization in a ferromagnet is formulated as a mathematical program with evolutionary equilibrium constrains. To this purpose, we construct an evolutionary infinitive-dimensional model which is discretized both in the space as well as in time variables. The evolutionary nature of this equilibrium is due to the hysteresis behavior of the respective magnetization process. To solve the problem numerically, we adapted the implict programming technique. We solve two test examples. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2007
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