Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 213–221 (Mi smj2300)  
On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals

I. A. Finogenko

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
Full-text PDF (297 kB)
References:
PDF
HTML
Abstract: We consider the questions of attraction for autonomous functional differential inclusions using invariantly differentiable Lyapunov functionals of constant sign and a collection of auxiliary functionals enabling us to determine more exactly an attractor in the phase space of continuous functions.
Keywords: functional differential inclusion, Lyapunov–Krasovskiĭ functional, $\omega$-limit set, semi-invariant set, attraction, weak attraction.
Received: 28.10.2010
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 174–181
DOI: https://doi.org/10.1134/S0037446612010156
Bibliographic databases:
Document Type: Article
UDC: 531.911.5
Language: Russian
Citation: I. A. Finogenko, “On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals”, Sibirsk. Mat. Zh., 53:1 (2012), 213–221; Siberian Math. J., 53:1 (2012), 174–181
Citation in format AMSBIB
\Bibitem{Fin12}
\by I.~A.~Finogenko
\paper On attraction and weak attraction for autonomous functional differential inclusions using multiple Lyapunov functionals
\jour Sibirsk. Mat. Zh.
\yr 2012
\vol 53
\issue 1
\pages 213--221
\mathnet{http://mi.mathnet.ru/smj2300}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962200}
\transl
\jour Siberian Math. J.
\yr 2012
\vol 53
\issue 1
\pages 174--181
\crossref{https://doi.org/10.1134/S0037446612010156}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303357700015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84857623304}
Linking options:
  • https://www.mathnet.ru/eng/smj2300
  • https://www.mathnet.ru/eng/smj/v53/i1/p213
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024