Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 5, Pages 28–39 (Mi ivm8701)  
This article is cited in 2 scientific papers (total in 2 papers)

Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations

B. S. Kalitina, R. Chabourb

a Chair of Methods of Optimal Control, Belarusian State University, Minsk, Republic of Belarus
b Department of Mathematics, Metz University P. Verlin, Metz, France
Full-text PDF (226 kB) Citations (2)
References:
PDF
HTML
Abstract: We extend the method of semidefinite Lyapunov functions for analyzing the motion stability as applied to systems of nonautonomous differential equations. We prove basic stability theorems and illustrate them with examples.
Keywords: nonautonomous systems of differential equations, equilibrium, stability, Lyapunov function.
Received: 27.01.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 5, Pages 23–33
DOI: https://doi.org/10.3103/S1066369X12050039
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: B. S. Kalitin, R. Chabour, “Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5, 28–39; Russian Math. (Iz. VUZ), 56:5 (2012), 23–33
Citation in format AMSBIB
\Bibitem{KalCha12}
\by B.~S.~Kalitin, R.~Chabour
\paper Method of semidefinite Lyapunov functions for systems of nonautonomous differential equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 5
\pages 28--39
\mathnet{http://mi.mathnet.ru/ivm8701}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076887}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 5
\pages 23--33
\crossref{https://doi.org/10.3103/S1066369X12050039}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862637351}
Linking options:
  • https://www.mathnet.ru/eng/ivm8701
  • https://www.mathnet.ru/eng/ivm/y2012/i5/p28
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:272
    Full-text PDF :97
    References:63
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024