In this paper, we consider a multi-pursuer multi-evader pursuit evasion game where some evaders' maximal speeds are
higher than those of all pursuers. In multi-player pursuit evasion game, hierarchical framework is applied widely in order
to decompose the original complicated multi-player game into multiple small scale games, i.e. one-pursuer one-evader
games and multi-pursuer single-evader games. The latter is especially required for superior evaders. Although usually
only suboptimal results are obtained, the resulted decentralized approaches are favored by researchers from the point
view of communication aspect for practical applications. Based on our previous work, for a multi-pursuer single-superior-
evader game on a plane, we first study the number of pursuers which necessitates the capture. Regarding each
player as a mass point, a moving planar coordinate system is fixed on the evader. Then formation control is used for
pursuers in their pursuit strategies deriving to 1) avoid collision between pursuers; 2) reduce the distance between each
pursuer and the evader over the evolution of game; 3) keep the pursuers' angular distribution around the evader invariant
during the pursuit process and enclose the superior evader within the union of each pursuer's capture domain at the end
of game. The validity of our method is illustrated by two simulation examples.
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