A hysteresis model for two-dimensional input signals

TL;DR

This paper introduces a new vector hysteresis model for two-dimensional inputs, analyzes its properties, and solves related identification problems, advancing the understanding of hysteresis in multi-dimensional systems.

Contribution

The paper presents a novel 2D vector hysteresis model, provides theoretical analysis, and addresses key identification challenges, which were not previously explored in this context.

Findings

Proved key properties of the new hysteresis model

Solved two identification problems related to the model

Enhanced understanding of vector hysteresis behavior

Abstract

We formulate and analyze a new model of vector hysteresis for the case of two-dimensional input signals. We prove certain properties of this model and we present the solutions to two identification problems connected with our model.