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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.

MSC:

93A99 General systems theory
82D40 Statistical mechanics of magnetic materials
74H99 Dynamical problems in solid mechanics
93B99 Controllability, observability, and system structure
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