  In this paper we consider a continuous-time anisotropic swarm model in
$n$-dimensional space with an attraction/repulsion function and study its
aggregation properties. It is shown that the swarm members will aggregate and
eventually form a cohesive cluster of finite size around the swarm center.
Moreover, the numerical simulations show that all agents will eventually enter
into and remain in a bounded region around the swarm center. The model is more
general than isotropic swarms and our results provide further insight into the
effect of the interaction pattern on individual motion in a swarm system.

Optimization and Control