English

Tracking control for multi-agent consensus with an active leader and variable topology

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of fixed interconnection topology. Then a sufficient condition is proposed when the interconnection topology is switched. With a simple first-order dynamics model by using the neighborhood rule, both results show that the group behavior of the agents will converge to the polytope formed by the leaders.

Keywords

Cite

@article{arxiv.0705.0403,
  title  = {Tracking control for multi-agent consensus with an active leader and variable topology},
  author = {Jiangping Hu and Yiguang Hong and Linxin Gao},
  journal= {arXiv preprint arXiv:0705.0403},
  year   = {2007}
}
R2 v1 2026-06-21T08:24:29.622Z