@article{Luo2021, 
author = {Chang Luo},
title = {Local controllability of complex networks},
year = {2021},
journal = {Mathematical Modelling and Control},
volume = {1},
number = {2},
pages = {121-133},
keywords = {complex networks, network control, local controllability, model networks},
url = {https://www.sciopen.com/article/10.3934/mmc.2021010},
doi = {10.3934/mmc.2021010},
abstract = {The control of complex networks has been studied extensively in the last decade, with different control models been introduced. In this paper, we propose a new network control framework, called local controllability. Local controllability extends the entire network control onto a local scale, and it concerns about the minimum number of inputs required to control a subset of nodes in a directed network. We develop a mathematical formulation for local controllability as an optimization problem and show that it can be solved by a cubic-time algorithm. Moreover, applications to both real networks and model networks are presented and results of these numerical studies are then discussed.}
}