Abstarct
We formulate and analyze a new model of vector hysteresis for the case of two-input signals. We prove the essential mathematical properties of this model and we present the solutions to two identification problems connected with our model
Contents
1. Introduction
2. Definition and simple properties of a hysteresis operator with two inputs
3. Bounded variation properties of the hysteresis operator
4. The wiping-out property and related issues in hysteresis with two inputs
5. Identification methods
6. Remarks on applications of two-input hysteresis to Economics