Convergence of cut-balanced continuous-time consensus systems

Hendrickx, Julien;Tsitsiklis, John N.
(2011) Proceedings of the 30th Benelux Meeting on Systems and Control — Location: Lommel, Belgium

Files

consensus_CT_benelux-v2.pdf
  • Restricted Access
  • Adobe PDF
  • 96.85 KB
Request a copy

Details

Authors
  • Hendrickx, Julienorcid-logoUCLouvain
    Author
  • Tsitsiklis, John N.Massachusetts Institute of Technology
    Author
Abstract
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.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Hendrickx, J., & Tsitsiklis, J. N. (2011). Convergence of cut-balanced continuous-time consensus systems. Proceedings of the 30th Benelux Meeting on Systems and Control, Lommel, Belgium. https://hdl.handle.net/2078.5/254740