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Avtomatika i Telemekhanika, 2008, Issue 8, Pages 33–47 (Mi at702)  
Deterministic Systems

Criteria of resonance origin in a single-circuit control system with saturation

A. M. Krasnosel'skiia, D. I. Rachinskiiab

a Institute for Information Transmission Problems Russian Academy of Sciences, Moscow, Russia
b University College Cork, Cork, Ireland
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Abstract: 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.
Presented by the member of Editorial Board: B. T. Polyak

Received: 03.04.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 8, Pages 1297–1310
DOI: https://doi.org/10.1134/S0005117908080031
Bibliographic databases:
Document Type: Article
PACS: 02.30.Hq
Language: Russian
Citation: A. M. Krasnosel'skii, D. I. Rachinskii, “Criteria of resonance origin in a single-circuit control system with saturation”, Avtomat. i Telemekh., 2008, no. 8, 33–47; Autom. Remote Control, 69:8 (2008), 1297–1310
Citation in format AMSBIB
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