Methods for observing an object moving in under conditions of its opposition
- Authors: Berdyshev V.I.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics Ural Branch of the Russian Academy of Sciences
- Issue: Vol 517 (2024)
- Pages: 120-124
- Section: MATHEMATICS
- URL: https://journals.eco-vector.com/2686-9543/article/view/648018
- DOI: https://doi.org/10.31857/S2686954324030205
- EDN: https://elibrary.ru/ZWOYDI
- ID: 648018
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Abstract
We propose ways of action of the observer f when tracking an object t moving in along the shortest trajectory 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 . The observer's task – to track the motion of the object over as much of the trajectory as possible.
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About the authors
V. I. Berdyshev
Krasovskii Institute of Mathematics and Mechanics Ural Branch of the Russian Academy of Sciences
Author for correspondence.
Email: bvi@imm.uran.ru
Academicain of the RAS
Russian Federation, YekaterinburgReferences
- Милка А.Д. Кратчайшие линии на выпуклых поверхностях // Мат. заметки. 1984. Т. 35. Вып. 4. С. 617–635.
- Люстерник Л.A. Геодезические линии. М.–Л.: Гос. изд-во технико-теорет. литературы, 1940. 50 с.
- Clarcson J.A. Uniformly convex spaces // Trans. Amer. Math. Soc. 1936. V. 40. P. 396–414.
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