Broadcast control of multi-agent systems

This paper addresses a broadcast control problem for multi-agent coordination. The “broadcast control” means governing multi-agent systems by sending the same signal to all the agents indiscriminatingly, under the assumption that there is no agent-to-agent communication. The problem studied here is to find both the information to be broadcasted and the local actions of the agents, to achieve a given motion-coordination task. We derive a solution which asymptotically achieves the task almost surely. The solution is demonstrated by a numerical simulation and an experiment.