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RAS PresidiumДоклады Российской академии наук. Математика, информатика, процессы управления Doklady Mathematics

  • ISSN (Print) 2686-9543
  • ISSN (Online) 3034-5049

Methods for observing an object moving in under conditions of its opposition

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PII
10.31857/S2686954324030205-1
DOI
10.31857/S2686954324030205
Publication type
Article
Status
Published
Authors
V. I. Berdyshev
  • Occupation: Academicain of the RAS
  • Affiliation: Krasovskii Institute of Mathematics and Mechanics Ural Branch of the Russian Academy of Sciences
Volume/ Edition
Volume 517 / Issue number 1
Pages
120-124
Abstract
We propose ways of action of the observer f when tracking an object t moving in R3 along the shortest trajectory T enveloping the set of convex sets. The object has velocity mini-objects that pose a hazard to the observer. The means of observation depend on the geometric properties of the sets and the trajectory T. The observer's task – to track the motion of the object over as much of the trajectory T as possible.
Keywords
навигация движущийся объект наблюдатель локатор видоискатель кратчайшая траектория
Date of publication
15.06.2024
Year of publication
2024
Number of purchasers
0
Views
44

References

  1. 1. Милка А.Д. Кратчайшие линии на выпуклых поверхностях // Мат. заметки. 1984. Т. 35. Вып. 4. С. 617–635.
  2. 2. Люстерник Л.A. Геодезические линии. М.–Л.: Гос. изд-во технико-теорет. литературы, 1940. 50 с.
  3. 3. Clarcson J.A. Uniformly convex spaces // Trans. Amer. Math. Soc. 1936. V. 40. P. 396–414.
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