English

On Cyclic and Nearly Cyclic Multiagent Interactions in the Plane

Multiagent Systems 2009-07-17 v1 Robotics

Abstract

We discuss certain types of cyclic and nearly cyclic interactions among N "point"-agents in the plane, leading to formations of interesting limiting geometric configurations. Cyclic pursuit and local averaging interactions have been analyzed in the context of multi-agent gathering. In this paper, we consider some nearly cyclic interactions that break symmetry leading to factor circulants rather than circulant interaction matrices.

Cite

@article{arxiv.0907.2759,
  title  = {On Cyclic and Nearly Cyclic Multiagent Interactions in the Plane},
  author = {Frederique Oggier and Alfred Bruckstein},
  journal= {arXiv preprint arXiv:0907.2759},
  year   = {2009}
}
R2 v1 2026-06-21T13:25:32.162Z