Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2015, Issue 3, Pages 105–115 (Mi vspui260)  
This article is cited in 4 scientific papers (total in 4 papers)

Control processes

Stability analysis of homogeneous differential-difference equation with linear delay

A. P. Zhabko, O. N. Chizhova

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation
Full-text PDF (274 kB) Citations (4)
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Abstract: A homogeneous differential-difference equation with linearly increasing time delay is considered. Some sufficient conditions for asymptotic stability and instability of zero solution well-known for the linear equation with linearly increasing time delay are summarized in homogeneous equations. The speed of solution decreasing is estimated. Refs 20.
Keywords: homogeneous differential-difference equation, linearly increasing time delay, asymptotic stability, instability.
Funding agency Grant number
Russian Foundation for Basic Research 15-58-53017
Saint Petersburg State University НИР 9.37.157.2014
Received: April 30, 2015
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: A. P. Zhabko, O. N. Chizhova, “Stability analysis of homogeneous differential-difference equation with linear delay”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, no. 3, 105–115
Citation in format AMSBIB
\Bibitem{ZhaChi15}
\by A.~P.~Zhabko, O.~N.~Chizhova
\paper Stability analysis of homogeneous differential-difference equation with linear delay
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2015
\issue 3
\pages 105--115
\mathnet{http://mi.mathnet.ru/vspui260}
\elib{https://elibrary.ru/item.asp?id=24323229}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Full-text PDF :42
    References:36
    First page:22
     
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