The Collective Behavior of Multi-Agents System for Tracking a Desired Path

The formation of movement in a colony of animals in nature is as important as the movement itself. In transportation world or multi-agents system (swarm), like in military world, the formation of aircrafts or ships is also vital. This paper addresses the tracking situation of multi agents system that models swarming behavior moving along a desired path. This paper tries to model the movement of the swarm agents to follow the desired path in a bounded 2-dimensional region. In this paper, we also study the dynamics of the center of swarm relative to the desired path. We find that the distance between the center of swarm path and the desired path is exponentially stable . Numerical simulations shows that the agents will aggregate then move together around the desired path. Index Term-multi-agents systems, swarm center, tracking, numerical simulation.