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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 3, Pages 30–41
DOI: https://doi.org/10.20537/vm100305 (Mi vuu164) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Singularities' of Optimal-Time Function in One Class of Optimal-Time Control Problems Construction Algorithms

A. A. Uspenskii, P. D. Lebedev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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DOI: https://doi.org/10.20537/vm100305
Abstract: Singular lines and nonsmooth singularities of cost function in one class of optimal-time problems are studied. Equations for their end points are written. Their relation with the geometry of the goal set is shown. Connection of the optimal-time problem and the first order PDE with boundary condition is ascertained. Examples of some problems' solving and graphs of solutions are given.
Keywords: optimal-time control problem, disperse line, pseudoverticle of the set.
Received: 01.02.2010
Document Type: Article
UDC: 517.977.58
MSC: 35F15, 37G10
Language: Russian
Citation: A. A. Uspenskii, P. D. Lebedev, “Singularities' of Optimal-Time Function in One Class of Optimal-Time Control Problems Construction Algorithms”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 3, 30–41
Citation in format AMSBIB
\Bibitem{UspLeb10}
\by A.~A.~Uspenskii, P.~D.~Lebedev
\paper Singularities' of Optimal-Time Function in One Class of Optimal-Time Control Problems Construction Algorithms
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2010
\issue 3
\pages 30--41
\mathnet{http://mi.mathnet.ru/vuu164}
\crossref{https://doi.org/10.20537/vm100305}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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