# American Institute of Mathematical Sciences

2007, 2007(Special): 855-863. doi: 10.3934/proc.2007.2007.855

## Three state relays

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

Received  September 2006 Revised  March 2007 Published  September 2007

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.
Citation: Oleg Rasskazov, Gary Friedman. Three state relays. Conference Publications, 2007, 2007 (Special) : 855-863. doi: 10.3934/proc.2007.2007.855
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