探究欧氏空间中一类具有吸引/排斥函数的各向异性群集系统的集结属性,将个体间的耦合矩阵进行了一定的推广. 该模型的耦合矩阵更具普遍意义. 结果表明:
在耦合权值满足一定平衡条件的情况下,群集成员将在有限时间内聚集并形成一个以群集的加权中心为球心的紧凑的有界群体. 仿真实例进一步表明了群集个体最终进入并驻留在群集加权中心的有界区域内.

In this paper an anisotropic swarm model with an attraction/repulsion function in Euclidean space is developed.   It is shown that the swarm members will aggregate and eventually form a cohesive cluster with finite size around weighted center of swarm in finite time if coupling weights satisfy some balance condition. Simulation shows that the swarm members will eventually enter and stay in the bounded region around weighted center of swarm.