Sibirskii Zhurnal Industrial'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Zhurnal Industrial'noi Matematiki, 2019, Volume 22, Number 3, Pages 96–103
DOI: https://doi.org/10.33048/sibjim.2019.22.308 (Mi sjim1056) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients

I. I. Matveevaab

a Sobolev Institute of Mathematics SB RAS, pr. Akad. Koptyuga 4, 630090 Novosibirsk
b Novosibirsk State University, ul. Pirogova 1, 630090 Novosibirsk
Full-text PDF (198 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.33048/sibjim.2019.22.308
Abstract: We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov — Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.
Keywords: time-delay system of neutral type, periodic coefficients, exponential stability, Lyapunov — Krasovskiĭ functional.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10086_мк
Received: 09.05.2019
Revised: 09.05.2019
Accepted: 13.06.2019
English version:
Journal of Applied and Industrial Mathematics, 2019, Volume 13, Issue 3, Pages 511–518
DOI: https://doi.org/10.1134/S1990478919030116
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, “Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients”, Sib. Zh. Ind. Mat., 22:3 (2019), 96–103; J. Appl. Industr. Math., 13:3 (2019), 511–518
Citation in format AMSBIB
\Bibitem{Mat19}
\by I.~I.~Matveeva
\paper Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients
\jour Sib. Zh. Ind. Mat.
\yr 2019
\vol 22
\issue 3
\pages 96--103
\mathnet{http://mi.mathnet.ru/sjim1056}
\crossref{https://doi.org/10.33048/sibjim.2019.22.308
}
\elib{https://elibrary.ru/item.asp?id=41626650}
\transl
\jour J. Appl. Industr. Math.
\yr 2019
\vol 13
\issue 3
\pages 511--518
\crossref{https://doi.org/10.1134/S1990478919030116}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85071645028}
Linking options:
  • https://www.mathnet.ru/eng/sjim1056
  • https://www.mathnet.ru/eng/sjim/v22/i3/p96
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:251
    Full-text PDF :75
    References:37
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024