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, 1992, Volume 39, Issue 1, Pages 795–816
DOI: https://doi.org/10.1070/IM1992v039n01ABEH002226 (Mi im989) 		 
The method of function of an operator, and iterative processes in some optimal control problems

I. I. Golichev

Institute of Mathematics with Computing Centre, Ural Branch of USSR Academy of Sciences
English version PDF (911 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1992v039n01ABEH002226
Abstract: For a problem with control of the right-hand side of the state equation and with observation at the terminal time instant, the representation of the solution in the form of a function of an operator is obtained. A criterion for solvability of the time-optimal control problem is found. An iterative process for solving the problem, whose rate of convergence does not depend on the regularization parameter, is constructed.
Received: 22.05.1990
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1991, Volume 55, Issue 4, Pages 815–837
Bibliographic databases:
UDC: 519.71
MSC: Primary 49J27; Secondary 41A35, 41A65
Language: English
Original paper language: Russian
Citation: I. I. Golichev, “The method of function of an operator, and iterative processes in some optimal control problems”, Izv. Akad. Nauk SSSR Ser. Mat., 55:4 (1991), 815–837; Math. USSR-Izv., 39:1 (1992), 795–816
Citation in format AMSBIB
\Bibitem{Gol91}
\by I.~I.~Golichev
\paper The~method of function of an operator, and iterative processes in some optimal control problems
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1991
\vol 55
\issue 4
\pages 815--837
\mathnet{http://mi.mathnet.ru/im989}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1137587}
\zmath{https://zbmath.org/?q=an:0783.49011|0745.49019}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..39..795G}
\transl
\jour Math. USSR-Izv.
\yr 1992
\vol 39
\issue 1
\pages 795--816
\crossref{https://doi.org/10.1070/IM1992v039n01ABEH002226}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JQ84600005}
Linking options:
  • https://www.mathnet.ru/eng/im989
  • https://doi.org/10.1070/IM1992v039n01ABEH002226
  • https://www.mathnet.ru/eng/im/v55/i4/p815
    • 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:390
    Russian version PDF:118
    English version PDF:20
    References:71
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024