Recently the controllability of complex networks has attracted large interest. This term refers to the ability to drive the dynamical state of the network to an arbitrary dynamical configuration.
I have recently worked on the structural controllability of single and multilayer networks.
- On single random locally tree-like networks we have found that the number of driver nodes determining the structural controllability of the network depends only on the density of low degree nodes.
This result is particularly surprising because many other dynamical phenomena defined on complex networks have a critical behavior determined by the presence of large degree nodes, the hubs of the network.
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We have extended the framework of structural controllability to multilayer networks finding that mutlilayer networks are in general more difficult to control than their single layers taken in isolation. Additionally we have shown that the system might undergo phase transitions that decreases the robustness of the system.