A moving object and observers in ℝ2 with a piecewise smooth shading set
- Autores: Berdyshev V.I.1,2
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Afiliações:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Edição: Volume 296, Nº Suppl 1 (2017)
- Páginas: 95-101
- Seção: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174332
- DOI: https://doi.org/10.1134/S0081543817020092
- ID: 174332
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Resumo
We consider the motion of an object t in the space ℝ2, where a bodily bounded set G with piecewise smooth boundary hinders the motion and visibility. In a neighborhood of convex parts of the boundary, there are observers, which can hide from t in a shading set s(t) ⊂ ℝ2G in the case of danger from t. We find characteristic properties of a trajectory T of the object that maximizes the value min{ρ(t, s(t)): t ∈ T}.
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Sobre autores
V. Berdyshev
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Autor responsável pela correspondência
Email: bvi@imm.uran.ru
Rússia, Yekaterinburg, 620990; Yekaterinburg, 620000
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