Three state relays

Oleg Rasskazov; Gary Friedman

doi:10.3934/proc.2007.2007.855

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2007, Volume 2007: 855-863. Doi: 10.3934/proc.2007.2007.855 open access

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Three state relays

Oleg Rasskazov^1, and
Gary Friedman²

1.
Dept of Applied Mathematics, University College Cork
2.
Dept of Electrical and Computer Engineering, Drexel University, Philadelphia

Received: August 31, 2006

Revised: February 28, 2007

Published: August 2007

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Abstract

We consider a hysteresis operator that arises as a three state generalization of a bi-stable relay. Basic properties and a geometric interpretation of the three-state relay are considered. Analogously to Preisach operator, which can be introduced as an aggregation of all possible non-ideal relays, we consider a "Super-Preisach" operator, that is an aggregation of all possible three-state relays.

Keywords:

Hysteresis,
Three state relay.

Mathematics Subject Classification: Primary: 34C55; Secondary: 47H99.

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