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Criteria of resonance origin in a single-circuit control system with saturation. (English. Russian original) Zbl 1156.93021
Autom. Remote Control 69, No. 8, 1297-1310 (2008); translation from Avtom. Telemekh. 2008, No. 8, 33-47 (2008).
Summary: Studies are made of forced periodic oscillations in a single-circuit control system with a parameter, the dynamics of which is described by resonance equations in the linear approximation. Criteria are suggested of the origin of resonance that is understood as an increase to infinity of the amplitude of forced oscillations in the approximation of the parameter to certain critical values. The principal results relate to the case when answers are defined by bounded nonlinearities of the order of a constant; the summands that decrease to zero are of no importance.
93C15 Control/observation systems governed by ordinary differential equations
94C05 Analytic circuit theory
34C25 Periodic solutions to ordinary differential equations
Full Text: DOI
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