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Variable states of continuous relay systems. (English. Russian original) Zbl 0819.93006
Russ. Acad. Sci., Dokl., Math. 47, No. 3, 513-517 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 4, 427-429 (1993).
Hysteresis effects from the operator description point of view are studied and phenomenological models of multidimensional hysteresis nonlinearities are the basic topic of this note. The goal is to remove vague notions about multivaluedness and devices with memory; a mathematical description of hysteresis needs to switch from finite- difference relations to equations with integrals or derivatives.

93A99 General systems theory
93B28 Operator-theoretic methods
93C10 Nonlinear systems in control theory