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Avtomatika i Telemekhanika, 2011, Issue 9, Pages 74–86 (Mi at2275)  
This article is cited in 7 scientific papers (total in 7 papers)

Topical issue

On the principle of reduction for the nonlinear delay systems

N. O. Sedova

Ul'yanovsk State University, Ul'yanovsk, Russia
Full-text PDF (241 kB) Citations (7)
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Abstract: Results were presented enabling one to reduce the problem equilibrium stability for multidimensional delay systems to a similar problem for more than one system of lower dimensionality. The results were established using fixed-sign (degenerate) Lyapunov functions and the limiting systems. The latter were constructed under more general assumptions about the right-hand side of the system than those used traditionally.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 12.04.2011
English version:
Automation and Remote Control, 2011, Volume 72, Issue 9, Pages 1864–1875
DOI: https://doi.org/10.1134/S0005117911090086
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. O. Sedova, “On the principle of reduction for the nonlinear delay systems”, Avtomat. i Telemekh., 2011, no. 9, 74–86; Autom. Remote Control, 72:9 (2011), 1864–1875
Citation in format AMSBIB
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\paper On the principle of reduction for the nonlinear delay systems
\jour Avtomat. i Telemekh.
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\pages 74--86
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\transl
\jour Autom. Remote Control
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\pages 1864--1875
\crossref{https://doi.org/10.1134/S0005117911090086}
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  • https://www.mathnet.ru/eng/at/y2011/i9/p74
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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