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, 2004, Issue 2, Pages 136–147 (Mi at1526)  
This article is cited in 10 scientific papers (total in 10 papers)

Optimization od Dynamic Systems

Exact penalty functions and problems of variation calculus

V. F. Dem'yanov

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
Full-text PDF (233 kB) Citations (10)
References:
PDF
HTML
Abstract: The main problem (also known as the simplest problem) of variational calculus is used to demonstrate that the theory of exact penalties can be used to find the main results of variational calculus (for example, Euler's conditions) and the tools of nonsmooth analysis can be applied to find the internal nature of the Euler equation and design new direct numerical methods for solving problems in variational calculus through the concept of the subgradient of the exact penalty function (which is essentially nonsmooth).
Presented by the member of Editorial Board: A. I. Kibzun

Received: 27.06.2003
English version:
Automation and Remote Control, 2004, Volume 65, Issue 2, Pages 280–290
DOI: https://doi.org/10.1023/B:AURC.0000014725.30533.c3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. F. Dem'yanov, “Exact penalty functions and problems of variation calculus”, Avtomat. i Telemekh., 2004, no. 2, 136–147; Autom. Remote Control, 65:2 (2004), 280–290
Citation in format AMSBIB
\Bibitem{Dem04}
\by V.~F.~Dem'yanov
\paper Exact penalty functions and problems of variation calculus
\jour Avtomat. i Telemekh.
\yr 2004
\issue 2
\pages 136--147
\mathnet{http://mi.mathnet.ru/at1526}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2094308}
\zmath{https://zbmath.org/?q=an:1073.49023}
\transl
\jour Autom. Remote Control
\yr 2004
\vol 65
\issue 2
\pages 280--290
\crossref{https://doi.org/10.1023/B:AURC.0000014725.30533.c3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000188975600015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904240050}
Linking options:
  • https://www.mathnet.ru/eng/at1526
  • https://www.mathnet.ru/eng/at/y2004/i2/p136
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024