American Institute of Mathematical Sciences

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

Three state relays

Oleg Rasskazov 1, and  Gary Friedman 2,

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.
Keywords: Three state relay., Hysteresis.
Mathematics Subject Classification: Primary: 34C55; Secondary: 47H9.
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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