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Research on High Speed Evader vs. Multi Lower Speed Pursuers in Multi Pursuit-evasion Games

机译:多重躲避游戏中高速躲避者与多重低速追逐者的研究

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In multi pursuit-evasion games the capability of pursuers and evaders is unequal, especially in the maximal velocity capability. Whether can the pursuers in low maximal velocity capture the evader in high maximal velocity? The success capture condition of unequal robot in multi pursuit-evasion games includes n pursuers and single evader is researched. If every robot?s vision field of pursuer is infinite, the pursuers can always capture the evader even if the top velocity of the pursuers is lower than the evader when the two necessary conditions are satisfied simultaneity with appropriate strategy. (1) The velocity ratio of the pursuer and evader is higher than the value of sin (π) and (2) Position of the evader should be located in the convex polygon which is composed by the position of the multi pursuers and the adjacent Apollonius circles formed by the evader and each pursuer should be intersected or tangent. If the two necessary conditions are not satisfied, the pursuers may capture the evader sometimes but not necessarily. The optimal strategy of the pursuer and evader is designed in success capture conditions. The experiments can also prove that success capture conditions are correct.
机译:在多躲避游戏中,追逐者和逃避者的能力是不平等的,特别是在最大速度能力方面。低最大速度的追击者能否捕获高最大速度的逃避者?研究了包括n个追赶者和单逃避者的多追逃游戏中不平等机器人的成功捕获条件。如果每个机器人的追击者视野都是无限的,那么当同时满足两个必要条件并采用适当的策略时,即使追击者的最高速度低于躲避者的速度,追逐者也始终可以捕获躲避者。 (1)追随者和逃避者的速度比高于sin(π/ n)的值,并且(2)逃避者的位置应位于凸多边形上,该凸多边形由多对追随者和机器人的位置组成躲避者与每个追踪者形成的相邻的Apollonius圆应相交或相切。如果不满足这两个必要条件,则追随者有时会(但不一定)捕获逃避者。在成功捕获条件下,设计了追击者和逃避者的最佳策略。实验还可以证明成功捕获条件是正确的。

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