Fig 6 - available via license: Creative Commons Attribution 4.0 International
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Geometric representation of the critical velocity calculation that results in a simpler critical velocity expression. The simplified expression for the critical velocity bounds the previously found critical velocity from above for all choices of geometric parameters. Red areas indicate locations where potential evaders may be located. The orange circles denote the spread of potential evaders to a circle of radius r around the most problematic points P 1 and P 2 and its during a traversal of 2π + β 0 around the evader region, where β 0 = arcsin r R 0 .
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Suppose in a given planar region, there are smart mobile evaders and we want to detect them using sweeping agents. We assume that the agents have line sensors of equal length. We propose procedures for designing cooperative sweeping processes that ensure successful completion of the task, thereby deriving conditions on the sweeping velocity of the...
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