Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 4, Pages 531–537
DOI: https://doi.org/10.7868/S0044466913040091 (Mi zvmmf9868) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Interval optimal control problem in a Hilbert space

Victoria Olegovna Oab

a Far Eastern Federal University, Vladivostok
b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
Full-text PDF (227 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466913040091
Abstract: An optimal control problem for a system involving an interval parameter is considered. The concepts of a universal optimal state and a universal optimal control are introduced. The existence and uniqueness of a universal solution to the interval optimal control problem is proved, and an algorithm for its determination is presented. The interval optimal control problem for a system described by the boundary value problem for a second-order ordinary differential equation is solved as an example.
Key words: interval problems, optimal control in Hilbert space, Lagrange principle, numerical algorithm, existence and uniqueness theorem.
Received: 09.10.2012
Revised: 22.10.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 4, Pages 389–395
DOI: https://doi.org/10.1134/S0965542513040064
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: Victoria Olegovna O, “Interval optimal control problem in a Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013), 531–537; Comput. Math. Math. Phys., 53:4 (2013), 389–395
Citation in format AMSBIB
\Bibitem{O13}
\by Victoria~Olegovna~O
\paper Interval optimal control problem in a Hilbert space
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 4
\pages 531--537
\mathnet{http://mi.mathnet.ru/zvmmf9868}
\crossref{https://doi.org/10.7868/S0044466913040091}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3254859}
\elib{https://elibrary.ru/item.asp?id=18951085}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 4
\pages 389--395
\crossref{https://doi.org/10.1134/S0965542513040064}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000318871900003}
\elib{https://elibrary.ru/item.asp?id=20427302}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84877339362}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9868
  • https://www.mathnet.ru/eng/zvmmf/v53/i4/p531
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024