On a Lipschitzian dynamic model of a simple hysteresis

A Lipschitzian dynamic model of a simple, relay-type hysteresis is considered. Being Lipschitzian, the approximate model may be thought of as more physically realistic than the ideal simple hysteresis. Simulations carried out using the suggested model encounter no integration-step singularities. Furthermore, since the approximate model involves a sector bounded nonlinearity, global absolute asymptotic stability analysis can be performed without substantially modifying the well known circle criterion.