Moving Object in ℝ2 and a Group of Observers


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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.

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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