The Consensus Problem Under Vanishing Communication Weights
Date: July 09 - July 13, 2012
We revisit the classical multi-agent distributed consensus problem under the dropping of the assumption that the existence of a connection between agent implies weights uniformly bounded away from zero. We formulate and study the problem by establishing global convergence results in discrete time, under fixed, switching and random topologies. We study the application of the results to flocking networks.