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, 2007, Volume 13, Number 2, Pages 55–65 (Mi timm88)  

This article is cited in 5 scientific papers (total in 5 papers)

The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case

A. R. Danilin, Yu. V. Parysheva
Full-text PDF (295 kB) Citations (5)
References:
Abstract: An optimal control problem is investigated for a linear system with fast and slow variables, a convex terminal performance functional depending on the slow variables, and smooth geometric constraints on the control. Sufficient regularity conditions are presented for the asymptotics of a solution of this problem, and a complete asymptotic expansion of the optimal value of the performance functional in powers of a small parameter is constructed.
Received: 12.03.2007
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 259, Issue 2, Pages S83–S94
DOI: https://doi.org/10.1134/S0081543807060053
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, Yu. V. Parysheva, “The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 55–65; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S83–S94
Citation in format AMSBIB
\Bibitem{DanPar07}
\by A.~R.~Danilin, Yu.~V.~Parysheva
\paper The asymptotics of the optimal value of the performance functional in a~linear optimal control problem in the regular case
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 55--65
\mathnet{http://mi.mathnet.ru/timm88}
\elib{https://elibrary.ru/item.asp?id=12040768}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S83--S94
\crossref{https://doi.org/10.1134/S0081543807060053}
Linking options:
  • https://www.mathnet.ru/eng/timm88
  • https://www.mathnet.ru/eng/timm/v13/i2/p55
  • This publication is cited in the following 5 articles:
    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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024