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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 494, Pages 93–96 (Mi danma124)

This article is cited in 1 paper

CONTROL PROCESSES

Deviation of an object with a striking device from a visibility area of an observer in $\mathbb{R}^3$

V. I. Berdyshev

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russian Federation

Abstract: An autonomous object possessing a high-speed striking device is moving under observation conditions. Threatened by the device, a spatial observer has to hide behind convex fragments of the surrounding terrain. The paper describes the routes from a given movement corridor along which the object could pass remaining hidden from the observer by choosing a suitable velocity of motion.

Keywords: navigation, autonomous object, trajectory, observer.

UDC: 519.62

Received: 27.07.2020
Revised: 27.07.2020
Accepted: 20.08.2020

DOI: 10.31857/S268695432005029X


 English version:
Doklady Mathematics, 2020, 102:2, 433–435

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© Steklov Math. Inst. of RAS, 2025