2011 • Conference Paper
Convergence of cut-balanced continuous-time consensus systems
Authors:
Hendrickx, Julien ,
Tsitsiklis, John
Published in:
Proceedings of the 30th Benelux Meeting on Systems and Control
We introduce a cut-balance condition for continu- ous time consensus seeking systems, which generalizes weak forms of symmetry and of average preservation. We show that, if a system satisfies the cut balance condition, it always converges to a set of clusters, and we characterize the clus- ters in terms of the graph describing the infinite interactions between the agents.