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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 1, Pages 183–192
DOI: https://doi.org/10.1070/IM1985v025n01ABEH001275 (Mi im1494) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Riemann integrability of an optimal control in linear time-optimal problems

D. B. Silin
English version PDF (519 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1985v025n01ABEH001275
Abstract: A linear time-optimal problem is considered. It is shown that the set of initial states for which a three-dimensional time-optimal problem at the origin, with constant coefficients, has no solution in the class of Riemann integrable controls can fill up a given ball to an arbitrary extent. For a large class of multidimensional systems it is shown that this set does not contain isolated points. Sufficient conditions for the existence of a Riemann integrable control are studied for problems with variable coefficients.
Bibliography: 8 titles.
Received: 24.12.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 4, Pages 854–864
Bibliographic databases:
UDC: 517.977.55
MSC: Primary 49A10; Secondary 52A99
Language: English
Original paper language: Russian
Citation: D. B. Silin, “Riemann integrability of an optimal control in linear time-optimal problems”, Izv. Akad. Nauk SSSR Ser. Mat., 48:4 (1984), 854–864; Math. USSR-Izv., 25:1 (1985), 183–192
Citation in format AMSBIB
\Bibitem{Sil84}
\by D.~B.~Silin
\paper Riemann integrability of an optimal control in linear time-optimal problems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 4
\pages 854--864
\mathnet{http://mi.mathnet.ru/im1494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=755960}
\zmath{https://zbmath.org/?q=an:0588.49002}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 1
\pages 183--192
\crossref{https://doi.org/10.1070/IM1985v025n01ABEH001275}
Linking options:
  • https://www.mathnet.ru/eng/im1494
  • https://doi.org/10.1070/IM1985v025n01ABEH001275
  • https://www.mathnet.ru/eng/im/v48/i4/p854
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:513
    Russian version PDF:133
    English version PDF:16
    References:71
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024