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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
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
Citation:
Yu. L. Sachkov, “Exponential map in the generalized Dido problem”, Sb. Math., 194:9 (2003), 1331–1359
Linking options:
https://www.mathnet.ru/eng/sm767https://doi.org/10.1070/SM2003v194n09ABEH000767 https://www.mathnet.ru/eng/sm/v194/i9/p63
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Abstract page: | 854 | Russian version PDF: | 311 | English version PDF: | 42 | References: | 79 | First page: | 1 |
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