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Avtomatika i Telemekhanika, 2014, Issue 11, Pages 3–18 (Mi at14139)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear Systems

On stability in nonlinear approximation of systems of impulsive differential equations

A. I. Dvirnyia, V. I. Slyn'kob

a UiT The Arctic University of Norway, Tromsö, Norway
b Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine
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Abstract: Theorems on existence of the Lyapunov functions for homogeneous systems of impulsive differential equations were proved. The results obtained were applied to studying stability in nonlinear approximation of the critical equilibria of the nonlinear systems of impulsive differential equations. An example of a second-order system was given.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 10.03.2013
English version:
Automation and Remote Control, 2014, Volume 75, Issue 11, Pages 1893–1905
DOI: https://doi.org/10.1134/S0005117914110010
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Dvirnyi, V. I. Slyn'ko, “On stability in nonlinear approximation of systems of impulsive differential equations”, Avtomat. i Telemekh., 2014, no. 11, 3–18; Autom. Remote Control, 75:11 (2014), 1893–1905
Citation in format AMSBIB
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\by A.~I.~Dvirnyi, V.~I.~Slyn'ko
\paper On stability in nonlinear approximation of systems of impulsive differential equations
\jour Avtomat. i Telemekh.
\yr 2014
\issue 11
\pages 3--18
\mathnet{http://mi.mathnet.ru/at14139}
\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 11
\pages 1893--1905
\crossref{https://doi.org/10.1134/S0005117914110010}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84948147944}
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  • https://www.mathnet.ru/eng/at/y2014/i11/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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