

Mathematical models of hysteresis.



By Professor Martin Brokate
ABSTRACT:
Hysteretic behaviour is an important feature of many processes
in science and technology. In their mathematical treatment, the
hysteresis aspect appears in rather diverse ways. In this talk,
we single out socalled rateindependent processes which, in
some sense, contain the essence of hysteresis. We present the
basic mathematical models for the scalar and for the
vector case, and discuss some of their properties, both in
isolation and as elements of a dynamical system. We will
also address some issues related to the control of such
systems.



