On the hysteresis of on-off elements

The introduction of a proportional feedback around an on-off element yields a new on-off element whose dead zone and hysteresis are directly dependent on the amount of feedback. It is thus possible to study autooscillations by means of Tsypkin´s method even in the case where the direct application of the classical approach leads to incorrect results. The same procedure leads to a new method for eliminating the limit cycle of an on-off feedback system. Some aspects of the problem are discussed when the on-off element is an electromagnetic relay.