The Kurzweil integral and hysteresis

A hysteresis operator, called the play, with variable (possibly degenerate) characteristics, is considered in the space of right-continuous regulated functions. The Lipschitz continuity of the input-output mapping is proved by means of a new technique based on the Kurzweil integral.

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Bibliographic Details
Published in:Journal of physics. Conference series 2006-12, Vol.55 (1), p.144-154
Main Author: Krejcí, P
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Hysteresis
Operators (mathematics)
Physics
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Description
Summary:A hysteresis operator, called the play, with variable (possibly degenerate) characteristics, is considered in the space of right-continuous regulated functions. The Lipschitz continuity of the input-output mapping is proved by means of a new technique based on the Kurzweil integral.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/55/1/014