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



Zh. Mat. Fiz. Anal. Geom.:
Year:
Volume:
Issue:
Page:
Find






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


Mat. Fiz. Anal. Geom., 2005, Volume 12, Number 1, Pages 3–24 (Mi jmag170)  

On the stability of solutions of systems ordinary quadratic differential equations on cone

S. A. Volkova

Ukrainian State University of Chemical Engineering

Abstract: The new sufficient conditions of a conditional stability of the trivial solution of a system of the ordinary quadratic differential equations are obtained. For the homogeneous system a domains of unlocal stability are also indicated (it will be cones). Then this domain is used for design of piecewise linear (discontinuous) control lawes on output for a bilinear control system of any order. Thus a system closed by such discontinuous feed-back becomes globally stable in the Lyapunuv sense for all the state space. The examples are given.

Full text: PDF file (366 kB)
Full text: http:/.../abstract.php?uid=m12-0003r

Bibliographic databases:
MSC: 93B05, 93B27
Received: 26.01.2004

Citation: S. A. Volkova, “On the stability of solutions of systems ordinary quadratic differential equations on cone”, Mat. Fiz. Anal. Geom., 12:1 (2005), 3–24

Citation in format AMSBIB
\Bibitem{Vol05}
\by S.~A.~Volkova
\paper On the stability of solutions of systems ordinary quadratic differential equations on cone
\jour Mat. Fiz. Anal. Geom.
\yr 2005
\vol 12
\issue 1
\pages 3--24
\mathnet{http://mi.mathnet.ru/jmag170}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2135423}
\zmath{https://zbmath.org/?q=an:1080.34042}


Linking options:
  • http://mi.mathnet.ru/eng/jmag170
  • http://mi.mathnet.ru/eng/jmag/v12/i1/p3

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Number of views:
    This page:90
    Full text:33

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020