A moving object and observers in ℝ2 with a piecewise smooth shading set


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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)): tT}.

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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