Trudy Instituta Matematiki i Mekhaniki UrO RAN
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


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 71–78
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-71-78 (Mi timm1292) 		 
Extragradient method for finding a saddle point in a multicriteria problem with dynamics

F. P. Vasil'eva, A. S. Antipinb, L. A. Artem'evaa

a Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (162 kB)
References:
PDF
HTML
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-71-78
Abstract: We consider an optimal control problem for a linear system of ordinary differential equations with an implicitly given boundary condition connected with a multicriteria problem. Such problems arise, for example, in the study of controlled objects that lose their stability under the influence of external perturbations, where it is required to return the object to stability by means of an appropriate choice of the control. We describe a possible mathematical model of this kind, propose an extragradient method for recovering the stability, and investigate its convergence.
Keywords: optimal control problem, Cauchy problem, multicriteria problem, saddle point, convergence.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06045-а
Ministry of Education and Science of the Russian Federation 02.А03.21.0004
Received: 24.02.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 203–210
DOI: https://doi.org/10.1134/S0081543817050224
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 37N40, 49J15, 49M30, 93C15, 90C29
Language: Russian
Citation: F. P. Vasil'ev, A. S. Antipin, L. A. Artem'eva, “Extragradient method for finding a saddle point in a multicriteria problem with dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 71–78; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 203–210
Citation in format AMSBIB
\Bibitem{VasAntArt16}
\by F.~P.~Vasil'ev, A.~S.~Antipin, L.~A.~Artem'eva
\paper Extragradient method for finding a saddle point in a multicriteria problem with dynamics
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 2
\pages 71--78
\mathnet{http://mi.mathnet.ru/timm1292}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-2-71-78}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3559163}
\elib{https://elibrary.ru/item.asp?id=26040816}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 203--210
\crossref{https://doi.org/10.1134/S0081543817050224}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000410252500022}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85029232225}
Linking options:
  • https://www.mathnet.ru/eng/timm1292
  • https://www.mathnet.ru/eng/timm/v22/i2/p71
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:363
    Full-text PDF :95
    References:57
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024