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Sbornik: Mathematics, 2019, Volume 210, Issue 1, Pages 1–23
DOI: https://doi.org/10.1070/SM9013 (Mi sm9013) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Controllability and second-order necessary conditions for optimality

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

a Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
c Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences, Moscow, Russia
English version PDF (552 kB) Citations (7)
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DOI: https://doi.org/10.1070/SM9013
Abstract: Sufficient conditions for the local controllability of a control system of ordinary differential equations are presented. These conditions are meaningful in the case where the linear approximation of the system is not completely controllable. Second-order necessary conditions for optimality for the problem of optimal control are obtained as a corollary.
Bibliography: 13 titles.
Keywords: controllability, optimal control, second-order conditions.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00649-а
This work was supported by the Russian Foundation for Basic Research (project no. 17-01-00649-a).
Received: 22.09.2017 and 18.09.2018
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 1, Pages 3–26
DOI: https://doi.org/10.4213/sm9013
Bibliographic databases:
Document Type: Article
UDC: 517.977.52
MSC: 49J21, 49J15
Language: English
Original paper language: Russian
Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability and second-order necessary conditions for optimality”, Mat. Sb., 210:1 (2019), 3–26; Sb. Math., 210:1 (2019), 1–23
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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