Effects of the network structural properties on its controllability

TL;DR

This paper investigates how various structural properties of complex networks, such as degree heterogeneity, correlation, and community structure, influence their controllability using spectral analysis and Master Stability Function methods.

Contribution

It provides a comparative analysis of different network topologies and their controllability based on spectral properties, extending previous theoretical frameworks.

Findings

Degree heterogeneity affects controllability

Community structure influences control strategies

Spectral properties correlate with network controllability

Abstract

In a recent paper, it has been suggested that the controllability of a diffusively coupled complex network, subject to localized feedback loops at some of its vertices, can be assessed by means of a Master Stability Function approach, where the network controllability is defined in terms of the spectral properties of an appropriate Laplacian matrix. Following that approach, a comparison study is reported here among different network topologies in terms of their controllability. The effects of heterogeneity in the degree distribution, as well as of degree correlation and community structure, are discussed.