Leader-following Consensus of Multi-agent Systems over Finite Fields

TL;DR

This paper investigates the leader-following consensus problem in multi-agent systems over finite fields, providing conditions on system matrices and graph weights for followers to track a leader.

Contribution

It introduces a novel analysis of multi-agent consensus over finite fields, deriving necessary and sufficient conditions for system convergence.

Findings

Derived conditions for consensus over finite fields

Established criteria linking system matrices and graph weights

Enhanced understanding of multi-agent control in finite algebraic structures

Abstract

The leader-following consensus problem of multi-agent systems over finite fields ${\mathbb F}_p$ is considered in this paper. Dynamics of each agent is governed by a linear equation over ${\mathbb F}_p$, where a distributed control protocol is utilized by the followers.Sufficient and/or necessary conditions on system matrices and graph weights in ${\mathbb F}_p$ are provided for the followers to track the leader.