Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 3, Pages 383–401
DOI: https://doi.org/10.1070/SM1982v041n03ABEH002238 (Mi sm2813) 		 
This article is cited in 26 scientific papers (total in 26 papers)

The index of the second variation of a control system

A. V. Sarychev
English version PDF (1163 kB) Citations (26) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1982v041n03ABEH002238
Abstract: The constancy of sign of the second variation of a nonlinear control system is investigated. Sufficient conditions for controllability of second order and also sufficient conditions for optimality with respect to fast action of the extremals of this system analogous to the Legendre–Jacobi conditions of the classical calculus of variation are obtained.
Bibliography: 6 titles.
Received: 05.03.1980
Bibliographic databases:
UDC: 519.3
MSC: 49B10, 93B05
Language: English
Original paper language: Russian
Citation: A. V. Sarychev, “The index of the second variation of a control system”, Math. USSR-Sb., 41:3 (1982), 383–401
Citation in format AMSBIB
\Bibitem{Sar80}
\by A.~V.~Sarychev
\paper The index of the second variation of a~control system
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 3
\pages 383--401
\mathnet{http://mi.mathnet.ru//eng/sm2813}
\crossref{https://doi.org/10.1070/SM1982v041n03ABEH002238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=601890}
\zmath{https://zbmath.org/?q=an:0484.49012}
Linking options:
  • https://www.mathnet.ru/eng/sm2813
  • https://doi.org/10.1070/SM1982v041n03ABEH002238
  • https://www.mathnet.ru/eng/sm/v155/i3/p464
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:683
    Russian version PDF:172
    English version PDF:17
    References:77
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024