State-Space Representation of Hysteresis Systems Exhibiting the Return Point Memory

TL;DR

This paper presents a minimal state-space framework for modeling hysteresis systems with return point memory, enabling systematic state construction and transition rules based on input equivalence.

Contribution

It introduces a novel minimal state-space realization method for hysteresis systems exhibiting return point memory, leveraging input equivalence for state and transition modeling.

Findings

Constructs the state space for hysteresis systems with return point memory.

Establishes state transition rules based on input equivalence.

Provides a systematic approach for modeling hysteresis dynamics.

Abstract

Application of the minimal state-space realization to hysteresis systems is studied. The method allows to construct the space of states and establish the state transition rules using the input equivalence, which can be obtained for hysteresis systems basing on rate independence and the return point memory.