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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 493, Pages 95–98
DOI: https://doi.org/10.31857/S2686954320040062 (Mi danma102) 		 
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Trajectory optimality conditions for moving object with nonuniform radiation pattern

A. A. Galyaev, P. V. Lysenko, V. P. Yahno

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320040062
Abstract: The problem of optimal trajectory planning for a moving object with a nonuniform radiation pattern is considered and analytically solved as a variational problem. The object tries to evade detection by a search system consisting of a single sensor. Necessary and sufficient conditions for trajectory optimality are obtained. Analytical expressions for optimal trajectories, the velocity law, and the integral risk of detection on optimal trajectories are derived.
Keywords: path planning, necessary and sufficient conditions of optimality, radiation pattern.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported in part by the Presidium of the Russian Academy of Sciences.
Received: 06.05.2020
Revised: 06.05.2020
Accepted: 06.05.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 1, Pages 342–345
DOI: https://doi.org/10.1134/S1064562420040067
Bibliographic databases:
Document Type: Article
UDC: 517.972, 517.977.5
Language: Russian
Citation: A. A. Galyaev, P. V. Lysenko, V. P. Yahno, “Trajectory optimality conditions for moving object with nonuniform radiation pattern”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020), 95–98; Dokl. Math., 102:1 (2020), 342–345
Citation in format AMSBIB
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\paper Trajectory optimality conditions for moving object with nonuniform radiation pattern
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 95--98
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\crossref{https://doi.org/10.31857/S2686954320040062}
\zmath{https://zbmath.org/?q=an:1476.90041}
\elib{https://elibrary.ru/item.asp?id=43795354}
\transl
\jour Dokl. Math.
\yr 2020
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\pages 342--345
\crossref{https://doi.org/10.1134/S1064562420040067}
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