41st IEEE Conference on Decision and Control, Las Vegas, NV, Amerika Birleşik Devletleri, 10 - 13 Aralık 2002, cilt.3, ss.2842-2847
In this article, for an M-member "individual-based" continuous time swarm model in an n-dimensional space, we extend the results in [1] by specifying a general class of attraction/repulsion functions that can be used to achieve swarm aggregation. These functions are odd functions that have terms for attraction and repulsion acting in opposite directions in compliance with real biological swarms. We present stability analysis for several cases of the functions considered to characterize swarm cohesiveness, size, and ultimate motions while in a cohesive group.