Three state relays

Pages: 855 - 863, Issue Special, September 2007

 Abstract        Full Text (199.5K)              

Oleg Rasskazov - Dept of Applied Mathematics, University College Cork, Ireland (email)
Gary Friedman - Dept of Electrical and Computer Engineering, Drexel University, Philadelphia, United States (email)

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.

Received: September 2006;      Revised: March 2007;      Published: September 2007.