一个包含目标趋向性的增强型Cucker-Smale群体运动模型

An enhanced Cucker-Smale flocking model including the target directed interaction

摘要:

在生物群集运动中，群成员往往具有共同目的，且仅在局部范围内进行信息交互.鉴于此，本文在描述生物群集运动的Cucker-Smale模型基础上引入目标趋向作用和几何邻域，从而建立了一个增强型Cucker-Smale群体运动模型.结合速度匹配、避免碰撞、群体聚集及趋向目标等4个群体目的，本文建立了相应的效能函数.仿真结果验证了模型的有效性.

Abstract:

In a biological flocking behavior, all group members have a common group target and exchange information only in local range. In this paper, based on the Cucker-Smale flocking model describing the movement of biological flocking behavior, an enhanced Cucker-Smale flocking model is proposed by introducing the target directed interaction and geometric neighborhood. In order to quantity the effectiveness of the model, an evaluation system with four functions, which is the speed matching function, the collision avoidance function, the group aggregation function and the target directed function is defined. The simulation illutrates the effectiveness of the model.