Topological Controllability of Undirected Networks of Diffusively-Coupled Agents
Systems and Control
2019-03-28 v1
Abstract
This paper presents conditions for establishing topological controllability in undirected networks of diffusively coupled agents. Specifically, controllability is considered based on the signs of the edges (negative, positive or zero). Our approach differs from well-known structural controllability conditions for linear systems or consensus networks, where controllability conditions are based on edge connectivity (i.e., zero or nonzero edges). Our results first provide a process for merging controllable graphs into a larger controllable graph. Then, based on this process, we provide a graph decomposition process for evaluating the topological controllability of a given network.
Keywords
Cite
@article{arxiv.1903.11246,
title = {Topological Controllability of Undirected Networks of Diffusively-Coupled Agents},
author = {Hyo-Sung Ahn and Kevin L. Moore and Seong-Ho Kwon and Quoc Van Tran and Byeong-Yeon Kim and Kwang-Kyo Oh},
journal= {arXiv preprint arXiv:1903.11246},
year = {2019}
}