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Sbornik: Mathematics, 2017, Volume 208, Issue 5, Pages 585–619
DOI: https://doi.org/10.1070/SM8721 (Mi sm8721) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Relaxation and controllability in optimal control problems

E. R. Avakovab, G. G. Magaril-Il'yaevbcd

a V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
d Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
English version PDF (704 kB) Citations (6) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8721
Abstract: The paper is concerned with the relationships between necessary minimum conditions in an optimal control problem, minimum conditions in the corresponding relaxed problem and sufficient conditions for local controllability of the system. The results obtained are applied to a fairly general optimal control problem.
Bibliography: 7 titles.
Keywords: optimal control, Pontryagin maximum principle, controllability, regularity, relaxation, mix of controls.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00456-а
14-01-00744-а
This research was carried out with the financial support of the Russian Foundation for Basic Research (grant nos. 14-01-00456-a and 14-01-00744-a).
Received: 21.04.2016 and 03.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.977.52
MSC: 49J27, 49J15
Language: English
Original paper language: Russian
Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “Relaxation and controllability in optimal control problems”, Sb. Math., 208:5 (2017), 585–619
Citation in format AMSBIB
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\paper Relaxation and controllability in optimal control problems
\jour Sb. Math.
\yr 2017
\vol 208
\issue 5
\pages 585--619
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    • This publication is cited in the following 6 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:587
    Russian version PDF:89
    English version PDF:17
    References:62
    First page:43
     
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