Effect of correlations on network controllability
Physics and Society
2013-01-16 v2 Statistical Mechanics
Social and Information Networks
Systems and Control
Optimization and Control
Abstract
A dynamical system is controllable if by imposing appropriate external signals on a subset of its nodes, it can be driven from any initial state to any desired state in finite time. Here we study the impact of various network characteristics on the minimal number of driver nodes required to control a network. We find that clustering and modularity have no discernible impact, but the symmetries of the underlying matching problem can produce linear, quadratic or no dependence on degree correlation coefficients, depending on the nature of the underlying correlations. The results are supported by numerical simulations and help narrow the observed gap between the predicted and the observed number of driver nodes in real networks.
Cite
@article{arxiv.1203.5161,
title = {Effect of correlations on network controllability},
author = {Márton Pósfai and Yang-Yu Liu and Jean-Jacques Slotine and Albert-László Barabási},
journal= {arXiv preprint arXiv:1203.5161},
year = {2013}
}