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Sbornik: Mathematics, 2003, Volume 194, Issue 9, Pages 1331–1359
DOI: https://doi.org/10.1070/SM2003v194n09ABEH000767 (Mi sm767) 		 
This article is cited in 45 scientific papers (total in 45 papers)

Exponential map in the generalized Dido problem

Yu. L. Sachkov

Program Systems Institute of RAS
English version PDF (420 kB) Citations (45) Russian version article
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DOI: https://doi.org/10.1070/SM2003v194n09ABEH000767
Abstract: The generalized Dido problem is stated as an optimal control problem in 5-dimensional space with 2-dimensional control and quadratic cost functional, which is a nilpotent sub-Riemannian problem with the growth vector (2, 3, 5). Extremals of this problem are parametrized by Jacobian elliptic functions.
Received: 16.12.2002
Bibliographic databases:
UDC: 517.977
MSC: Primary 93C15; Secondary 17B66, 34H05, 49J15, 53C17, 53C22, 93B05, 93C15
Language: English
Original paper language: Russian
Citation: Yu. L. Sachkov, “Exponential map in the generalized Dido problem”, Sb. Math., 194:9 (2003), 1331–1359
Citation in format AMSBIB
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\by Yu.~L.~Sachkov
\paper Exponential map in the~generalized Dido problem
\jour Sb. Math.
\yr 2003
\vol 194
\issue 9
\pages 1331--1359
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    • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    English version PDF:47
    References:84
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