Moving Object in ℝ2 and a Group of Observers
- Authors: Berdyshev V.I.1
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Issue: Vol 300, No Suppl 1 (2018)
- Pages: 49-55
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175469
- DOI: https://doi.org/10.1134/S0081543818020062
- ID: 175469
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Abstract
We formulate an extremal problem of constructing a trajectory of a moving object that is farthest from a group of observers with fixed visibility cones. Under some constraints on the arrangement of the observers, we give a characterization and a method of construction of an optimal trajectory.
Keywords
About the authors
V. I. Berdyshev
Krasovskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: bvi@imm.uran.ru
Russian Federation, Yekaterinburg, 620990
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