zbMATH — the first resource for mathematics

Transition to normal states in general continuous relay systems. (English. Russian original) Zbl 0871.93005
Russ. Acad. Sci., Dokl., Math. 50, No. 2, 287-291 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 338, No. 4, 457-460 (1994).
The paper deals with some very general properties of relay systems. State spaces are studied for hysteresis nonlinearities representable by nonideal relay systems. It is determined that variable external actions of a sufficiently general type carry arbitrary initial states of such systems into normal states. Five theorems confirming this property are proved.
93A99 General systems theory
93C10 Nonlinear systems in control theory