We consider the multi-agent collision avoidance problem
for a team of wheeled mobile robots. Recently, a local solution
to this problem, based on a game theoretic formulation, has been
provided and validated via numerical simulations. Due to its
local nature the result is not well-suited for online application.
In this paper we propose a novel hybrid implementation of the
control inputs that yields a control strategy suited for the online
navigation of mobile robots. Moreover, subject to a certain dwell
time condition, the resulting trajectories are globally convergent.
The control design is demonstrated both via simulations and
experiments.