title: Control of Multilayer Networks.
abstract: The controllability of a network is a theoretical problem of relevance in a variety of contexts ranging from financial markets to the brain. Until now, network controllability has been characterized only on isolated networks, while the vast majority of complex systems are formed by multilayer networks. Here we build a theoretical framework for the linear controllability of multilayer networks by mapping the problem into a combinatorial matching problem. We found that correlating the external signals in the different layers can significantly reduce the multiplex network robustness to node removal, as it can be seen in conjunction with a hybrid phase transition occurring in interacting Poisson networks. Moreover we observe that multilayer networks can stabilize the fully controllable multiplex network configuration that can be stable also when the full controllability of the single network is not stable.
authors: Department of Physics and Astronomy and INFN Sez. Bologna, Bologna University, Viale B. Pichat 6/2 40127 Bologna, Italy.
authors: Giulia
authors: G
authors: Menichetti
authors: Department of Applied Science and Technology, DISAT, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.|Collegio Carlo Alberto, Via Real Collegio 30, 10024 Moncalieri, Italy.
authors: Luca
authors: L
authors: Dall'Asta
authors: School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.
authors: Ginestra
authors: G
authors: Bianconi