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Hysteretic systems and step-convergent semistability

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3 Author(s)
Lacy, S.L. ; Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA ; Bernstein, D.S. ; Bhat, S.

Hysteresis is usually characterized as a memory-dependent relationship between inputs and outputs. While various operator models have been proposed, it is often convenient for engineering applications to approximate hysteretic behavior by means of finite-dimensional differential models. In the present paper we show that step-convergent semistable systems (that is, semistable systems with convergent step response) give rise to multiple-valued maps under quasi-static operation. By providing a connection between semistability and hysteresis, our goal is to provide a class of differential models for representing hysteretic behavior

Published in:

American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

Date of Conference:

2000

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