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Avtomatika i Telemekhanika, 1988, Issue 6, Pages 33–39 (Mi at6695)  

Deterministic Systems

A circular criterion for stability of nonlinear sampled-data systems with a new kind of quadratic relations

A. Kh. Gelig, N. I. L'yanova

Leningrad
Abstract: The method of averaging and a priori integral estimates leads to a frequency circular criterion for stability with any initial disturbances for a range of sampled-data systems in which the average value of the modulator output signal is quadratically related with the instantaneous value of the modulating signal.

Received: 02.12.1986
Bibliographic databases:
Document Type: Article
UDC: 62-504.52
Language: Russian
Citation: A. Kh. Gelig, N. I. L'yanova, “A circular criterion for stability of nonlinear sampled-data systems with a new kind of quadratic relations”, Avtomat. i Telemekh., 1988, no. 6, 33–39; Autom. Remote Control, 49:6 (1988), 714–719
Citation in format AMSBIB
\Bibitem{GelLya88}
\by A.~Kh.~Gelig, N.~I.~L'yanova
\paper A circular criterion for stability of nonlinear sampled-data systems with a new kind of quadratic relations
\jour Avtomat. i Telemekh.
\yr 1988
\issue 6
\pages 33--39
\mathnet{http://mi.mathnet.ru/at6695}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=956581}
\zmath{https://zbmath.org/?q=an:0658.93061}
\transl
\jour Autom. Remote Control
\yr 1988
\vol 49
\issue 6
\pages 714--719
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  • https://www.mathnet.ru/eng/at/y1988/i6/p33
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