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Avtomatika i Telemekhanika, 2019, Issue 7, Pages 3–60
DOI: https://doi.org/10.1134/S0005231019070018 (Mi at15300) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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The method of Lyapunov–Razumikhin functions in stability analysis of systems with delay

A. S. Andreev, N. O. Sedova

Ulyanovsk State University, Ulyanovsk, Russia
Full-text PDF (890 kB) Citations (8)
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DOI: https://doi.org/10.1134/S0005231019070018
Abstract: The history of development and the current state-of-the-art in the stability theory of systems with delay based on an effective generalization of the direct Lyapunov method are presented. This method uses “classical” Lyapunov functions in combination with the Razumikhin condition.
Keywords: equation with delay, stability, Lyapunov's direct method, Razumikhin condition.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 9.5994.2017/БЧ
Russian Foundation for Basic Research 18-41-730022
This work was supported by the Ministry of Education and Science of the Russian Federation within the State order for research, project no. 9.5994.2017/BCh, and by the Russian Foundation for Basic Research, project no. 1841-730022.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 01.06.2018
Revised: 10.11.2018
Accepted: 07.02.2019
English version:
Automation and Remote Control, 2019, Volume 80, Issue 7, Pages 1185–1229
DOI: https://doi.org/10.1134/S0005117919070014
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Andreev, N. O. Sedova, “The method of Lyapunov–Razumikhin functions in stability analysis of systems with delay”, Avtomat. i Telemekh., 2019, no. 7, 3–60; Autom. Remote Control, 80:7 (2019), 1185–1229
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2019/i7/p3
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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