A Framework of Stability Analysis for Multi-agent Systems on Arbitrary Topology Graph: Linear Systems
Systems and Control
2015-04-17 v1
Abstract
In this paper, from the structural perspective, we propose a new stability analysis approach for the consensus of linear multi-agent systems. Different from the general tools: the Laplacian matrix based method and the Lyapunov's method, this approach treats the multi-agent system as the composition of many isolated agents, and focuses on their special input and output relationship. Through transforming the construction of a graph into a standard procedure only including three basic structures, the stability analysis is recursive and independent of the specific topology. Therefore, this approach can be used for multi-agent systems on any topology graph.
Cite
@article{arxiv.1504.04240,
title = {A Framework of Stability Analysis for Multi-agent Systems on Arbitrary Topology Graph: Linear Systems},
author = {Wang Yong and Li Guiming},
journal= {arXiv preprint arXiv:1504.04240},
year = {2015}
}
Comments
8 pages, 5 figures