Effect of degree correlation on exact controllability of multiplex networks

Abstract

It has been proved that the degree correlation can affect the structural controllability of directed networks. Here, we explore the effect of interconnections’ correlation on the exact controllability of multiplex networks. We find that the minimal number of driver nodes decreases with correlation for lower density of interconnections. However, the controllability of networks with higher density of interconnections shows the contrary tendency. For different interconnections’ correlations, controllability of multiplex networks depicts transition with the density of interconnections. For lower interconnections density, the networks with disassortative coupling patterns are harder to control. Whereas, for higher interconnections density, the networks with assortative coupling patterns are harder to control.