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Normal states of vector relay systems. (English. Russian original) Zbl 0818.93004
Russ. Acad. Sci., Dokl., Math. 47, No. 3, 577-580 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 5, 556-558 (1993).
The systems are nonideal relays with thresholds evolving continuously with vector inputs. The values of the hysteresis nonlinearities are determined by a multiple integral. A theorem on the invariance of the classes of extended state under variable inputs is stated.
93A99 General systems theory
82D40 Statistical mechanical studies of magnetic materials
74H99 Dynamical problems in solid mechanics
93B99 Controllability, observability, and system structure