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Avtomatika i Telemekhanika, 2005, Issue 11, Pages 65–73 (Mi at1461)  
This article is cited in 2 scientific papers (total in 2 papers)

Deterministic Systems

The Stoker problem for multidimensional discrete phase control systems

N. V. Utina, A. I. Shepelyavyi

Saint-Petersburg State University
Full-text PDF (208 kB) Citations (2)
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Abstract: Upper and lower estimates for the number of cycle slippings in the transition processes in multidimensional discrete phase control systems under external action are derived by the Lyapunov function method with the frequency theorem and a modified method of nonlocal reduction of discrete systems. The effectiveness of analytical results is illustrated with an example on the transition processes in a pulse phase-locked system with proportionally integrating filter and standard phase detector characteristics.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 14.01.2005
English version:
Automation and Remote Control, 2005, Volume 66, Issue 11, Pages 1761–1767
DOI: https://doi.org/10.1007/s10513-005-0210-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. V. Utina, A. I. Shepelyavyi, “The Stoker problem for multidimensional discrete phase control systems”, Avtomat. i Telemekh., 2005, no. 11, 65–73; Autom. Remote Control, 66:11 (2005), 1761–1767
Citation in format AMSBIB
\Bibitem{UtiShe05}
\by N.~V.~Utina, A.~I.~Shepelyavyi
\paper The Stoker problem for multidimensional discrete phase control systems
\jour Avtomat. i Telemekh.
\yr 2005
\issue 11
\pages 65--73
\mathnet{http://mi.mathnet.ru/at1461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2172769}
\zmath{https://zbmath.org/?q=an:1126.93375}
\transl
\jour Autom. Remote Control
\yr 2005
\vol 66
\issue 11
\pages 1761--1767
\crossref{https://doi.org/10.1007/s10513-005-0210-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-27844600384}
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  • https://www.mathnet.ru/eng/at/y2005/i11/p65
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:32
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