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Avtomatika i Telemekhanika, 2013, Issue 12, Pages 56–103 (Mi at6171)  
This article is cited in 49 scientific papers (total in 49 papers)

Topical issue

Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations

B. M. Millerab, E. Ya. Rubinovichc

a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
b School of Mathematical Sciences, Monash University, Victoria, Australia
c Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (931 kB) Citations (49)
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Abstract: Consideration was given to the problems of variational calculus and optimal control admitting impulsive controls and, correspondingly, discontinuous solutions. The evolution of the notion of singular space-time transformation beginning from the problem of classical variational calculus and ending with the problems of optimal control at the phase of impact was shown.
Presented by the member of Editorial Board: V. I. Gurman

Received: 04.02.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 12, Pages 1969–2006
DOI: https://doi.org/10.1134/S0005117913120047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. M. Miller, E. Ya. Rubinovich, “Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations”, Avtomat. i Telemekh., 2013, no. 12, 56–103; Autom. Remote Control, 74:12 (2013), 1969–2006
Citation in format AMSBIB
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\by B.~M.~Miller, E.~Ya.~Rubinovich
\paper Discontinuous solutions in the optimal control problems and their representation by singular space-time transformations
\jour Avtomat. i Telemekh.
\yr 2013
\issue 12
\pages 56--103
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\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 12
\pages 1969--2006
\crossref{https://doi.org/10.1134/S0005117913120047}
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  • https://www.mathnet.ru/eng/at/y2013/i12/p56
    • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:664
    Full-text PDF :272
    References:111
    First page:30
     
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