Stability analysis of local swarms with attraction/repulsion force

摘要

This paper considers finite sense ability into swarm system. We first construct a model of local swarms with a class of attraction and repulsion. Then, we analyze aggregation motion of the swarm. It is shown that the individuals of the swarm will aggregate and eventually enter into a bounded hypeball around the swarm center in finite time and we present the range of the finite visual radius. We finally analyze their motion in convergent region.