Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




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

Avtomatika i Telemekhanika, 2013, Issue 2, Pages 22–37 (Mi at4340)  
This article is cited in 3 scientific papers (total in 3 papers)

Linear Systems

On one stability criterion for linear systems of differential equations with periodic coefficients

A. I. Perov

Voronezh State University, Voronezh, Russia
Full-text PDF (222 kB) Citations (3)
References:
PDF
HTML
Abstract: To check stability in linear systems of differential equations with periodic coefficients, we use a weighted Lozinski logarithmic norm. As the weights, we propose to take positive components of the Perron eigenvector for a constant off-diagonally nonnegative matrix that results by averaging the original system with diagonal elements replaced by their real parts and all off-diagonal coefficients replaced by their absolute values.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 17.07.2008
English version:
Automation and Remote Control, 2013, Volume 74, Issue 2, Pages 183–195
DOI: https://doi.org/10.1134/S0005117913020021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Perov, “On one stability criterion for linear systems of differential equations with periodic coefficients”, Avtomat. i Telemekh., 2013, no. 2, 22–37; Autom. Remote Control, 74:2 (2013), 183–195
Citation in format AMSBIB
\Bibitem{Per13}
\by A.~I.~Perov
\paper On one stability criterion for linear systems of differential equations with periodic coefficients
\jour Avtomat. i Telemekh.
\yr 2013
\issue 2
\pages 22--37
\mathnet{http://mi.mathnet.ru/at4340}
\zmath{https://zbmath.org/?q=an:06193923}
\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 2
\pages 183--195
\crossref{https://doi.org/10.1134/S0005117913020021}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000315199600002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878514091}
Linking options:
  • https://www.mathnet.ru/eng/at4340
  • https://www.mathnet.ru/eng/at/y2013/i2/p22
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:529
    Full-text PDF :151
    References:84
    First page:38
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024