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Avtomatika i Telemekhanika, 1989, Issue 7, Pages 71–82 (Mi at6327)  
This article is cited in 16 scientific papers (total in 16 papers)

Deterministic Systems

Solution of classical optimal control problems with a boundary layer

S. V. Belokopytova, M. G. Dmitrievb

a Krasnoyarsk
b Ashgabat
Full-text PDF (1254 kB) Citations (16)
Abstract: A natural way is developed of applying the boundary layer functions method to optimal control problems with fast and slow motions. In this approach the problem is directly decomposed into a sequence of lower-order variational problems. The relaxation and suboptimality of asymptotic approximations are proved.

Received: 13.01.1988
Bibliographic databases:
Document Type: Article
UDC: 62-505
Language: Russian
Citation: S. V. Belokopytov, M. G. Dmitriev, “Solution of classical optimal control problems with a boundary layer”, Avtomat. i Telemekh., 1989, no. 7, 71–82; Autom. Remote Control, 50:7 (1989), 907–917
Citation in format AMSBIB
\Bibitem{BelDmi89}
\by S.~V.~Belokopytov, M.~G.~Dmitriev
\paper Solution of classical optimal control problems with a boundary layer
\jour Avtomat. i Telemekh.
\yr 1989
\issue 7
\pages 71--82
\mathnet{http://mi.mathnet.ru/at6327}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1017973}
\zmath{https://zbmath.org/?q=an:0712.49003}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 7
\pages 907--917
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  • https://www.mathnet.ru/eng/at6327
  • https://www.mathnet.ru/eng/at/y1989/i7/p71
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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