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, 2002, Volume 43, Number 5, Pages 1149–1167 (Mi smj1357)  

This article is cited in 1 scientific paper (total in 1 paper)

Properties of solutions to second order evolution control systems. II

A. A. Tolstonogov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (276 kB) Citations (1)
Abstract: We continue the research of the first part of the article. We mainly study codensity for the set of admissible “trajectory-control” pairs of a system with nonconvex constraints in the set of admissible “trajectory-control” pairs of the system with convexified constraints. We state necessary and sufficient conditions for the set of admissible “trajectory-control” pairs of a system with nonconvex constraints to be closed in the corresponding function spaces. Using an example of a control hyperbolic system, we give an interpretation of the abstract results obtained. As application we consider the minimization problem for an integral functional on solutions of a control system.
Keywords: evolution control system, nonconvex constraint, codensity, optimal control, hyperbolic control system.
Received: 10.01.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 5, Pages 926–941
DOI: https://doi.org/10.1023/A:1020167126283
Bibliographic databases:
UDC: 517.988
Language: Russian
Citation: A. A. Tolstonogov, “Properties of solutions to second order evolution control systems. II”, Sibirsk. Mat. Zh., 43:5 (2002), 1149–1167; Siberian Math. J., 43:5 (2002), 926–941
Citation in format AMSBIB
\Bibitem{Tol02}
\by A.~A.~Tolstonogov
\paper Properties of solutions to second order evolution control systems.~II
\jour Sibirsk. Mat. Zh.
\yr 2002
\vol 43
\issue 5
\pages 1149--1167
\mathnet{http://mi.mathnet.ru/smj1357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1946271}
\zmath{https://zbmath.org/?q=an:1017.49004}
\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 5
\pages 926--941
\crossref{https://doi.org/10.1023/A:1020167126283}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000178696400015}
Linking options:
  • https://www.mathnet.ru/eng/smj1357
  • https://www.mathnet.ru/eng/smj/v43/i5/p1149
    Cycle of papers
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:266
    Full-text PDF :84
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024