Controllability of multilayer networks

Network controllability recently stimulates researchers' growing interests, and large-scale networked systems in real applications can be well described by multilayer networks. The intrinsic relationship between network multiple types of connection structures is far from clear needs further investigations. This paper studies the state networks with high-dimensional nodal systems, where topology different coupling modes. We focus on impact structures, modes, external control inputs investigations show that (1) system more complicated than monolayer multilayser topological facilitate controllability; (2) system, a two-layer may controllable even if both underlying topologies are uncontrollable. However, under certain conditions, uncontrollable lead to being uncontrollable; (3) mutually complementary modes beneficial