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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 957–969
DOI: https://doi.org/10.17377/smzh.2018.59.501 (Mi smj3021) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Construction of the Lyapunov–Krasovskii functionals for some classes of positive delay systems

A. Yu. Aleksandrov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (313 kB) Citations (6)
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DOI: https://doi.org/10.17377/smzh.2018.59.501
Abstract: A criterion is established for the diagonal stability of positive linear difference-differential systems with discrete and distributed delay. The problem is studied of existence of a common diagonal Lyapunov–Krasovskii functional for a family of these systems. The approach developed is used to obtain conditions of the absolute stability and estimates of the time of transient processes for nonlinear difference-differential systems with sector type nonlinearities.
Keywords: positive system, distributed delay, Lyapunov–Krasovskii functional, diagonal stability, switched system, estimate of a solution.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00587-a
The author was supported by the Russian Foundation for Basic Research (Grant 16-01-00587-a).
Received: 15.04.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 753–762
DOI: https://doi.org/10.1134/S0037446618050014
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
MSC: 35R30
Language: Russian
Citation: A. Yu. Aleksandrov, “Construction of the Lyapunov–Krasovskii functionals for some classes of positive delay systems”, Sibirsk. Mat. Zh., 59:5 (2018), 957–969; Siberian Math. J., 59:5 (2018), 753–762
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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