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Differentsial'nye Uravneniya, 2006, Volume 42, Number 11, Pages 1473–1480 (Mi de11588)  
This article is cited in 6 scientific papers (total in 6 papers)

Ordinary Differential Equations

Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case

A. R. Danilin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (697 kB) Citations (6)
Received: 14.04.2005
English version:
Differential Equations, 2006, Volume 42, Issue 11, Pages 1545–1552
DOI: https://doi.org/10.1134/S0012266106110048
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, “Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case”, Differ. Uravn., 42:11 (2006), 1473–1480; Differ. Equ., 42:11 (2006), 1545–1552
Citation in format AMSBIB
\Bibitem{Dan06}
\by A.~R.~Danilin
\paper Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case
\jour Differ. Uravn.
\yr 2006
\vol 42
\issue 11
\pages 1473--1480
\mathnet{http://mi.mathnet.ru/de11588}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2347077}
\transl
\jour Differ. Equ.
\yr 2006
\vol 42
\issue 11
\pages 1545--1552
\crossref{https://doi.org/10.1134/S0012266106110048}
Linking options:
  • https://www.mathnet.ru/eng/de11588
  • https://www.mathnet.ru/eng/de/v42/i11/p1473
    • This publication is cited in the following 6 articles:
    1. A. R. Danilin, A. A. Shaburov, “Asymptotics of Solution to Indirect Optimal Control Problem with Integral Convex Performance Index and Cheap Control”, J Math Sci, 284:1 (2024), 59  crossref
    2. A. R. Danilin, O. O. Kovrizhnykh, “Asimptoticheskoe razlozhenie resheniya zadachi optimalnogo upravleniya lineinoi avtonomnoi sistemoi s terminalnym vypuklym pokazatelem kachestva, zavisyaschim ot medlennykh i bystrykh peremennykh”, Izv. IMI UdGU, 61 (2023), 42–56  mathnet  crossref
    3. A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S85–S97  mathnet  crossref  crossref  mathscinet  elib
    4. Yu. V. Parysheva, “Asimptotika optimalnogo upravleniya v zadache minimizatsii terminalnogo funktsionala na traektoriyakh sistemy s bystrymi i medlennymi peremennymi”, Tr. IMM UrO RAN, 16, no. 2, 2010, 186–198  mathnet  elib
    5. A. R. Danilin, Yu. V. Parysheva, “Asymptotics of the optimal cost functional in a linear optimal control problem”, Dokl. Math., 80:1 (2009), 478  crossref
    6. 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”, Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S83–S94  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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