Matrix-Weight-Based Controllability of Second-Order Signed Multi-agent Networks

This study addresses the controllability of second-order signed multi-agent networks based on matrix weights. Some controllability conditions of signed second-order multi-agent networks under matrix-weighted topology for the heterogeneous networks and homogenous networks are built, respectively. In addition, the second-order controllability of signed networks with matrix-weights under structurally balanced conditions is considered with selecting appropriate leaders. Finally, simulations and examples are provided to demonstrate the theoretical results.