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Sbornik: Mathematics, 2021, Volume 212, Issue 7, Pages 887–920
DOI: https://doi.org/10.1070/SM9434 (Mi sm9434) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Local controllability and optimality

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

a V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
d Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
English version PDF (670 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM9434
Abstract: The concept of local controllability is introduced for a dynamical system; sufficient conditions for such controllability are presented. As a consequence, necessary conditions for a local infimum in an optimal control problem are obtained. These strengthen Pontryagin's maximum principle and extend it to more general classes of problems.
Bibliography: 8 titles.
Keywords: local controllability, local infimum, convex system, maximum principle.
Received: 29.04.2020 and 20.03.2021
Russian version:
Matematicheskii Sbornik, 2021, Volume 212, Number 7, Pages 3–38
DOI: https://doi.org/10.4213/sm9434
Bibliographic databases:
Document Type: Article
UDC: 517.977.52
MSC: 49K15
Language: English
Original paper language: Russian
Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “Local controllability and optimality”, Mat. Sb., 212:7 (2021), 3–38; Sb. Math., 212:7 (2021), 887–920
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:62
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