The leader-following consensus problem of multi-agent systems over finite fields Fp is considered in this paper. Dynamics of each agent is governed by a linear equation over Fp, where a distributed control protocol is utilized by the followers.Sufficient and/or necessary conditions on system matrices and graph weights in Fp are provided for the followers to track the leader.
@article{arxiv.1405.1906,
title = {Leader-following Consensus of Multi-agent Systems over Finite Fields},
author = {Xiangru Xu and Yiguang Hong},
journal= {arXiv preprint arXiv:1405.1906},
year = {2018}
}