Delayed state synchronization of homogeneous discrete-time multi-agent systems in the presence of unknown communication delays

This paper studies delayed state synchronization of homogeneous discrete-time multi-agent systems (MAS) in the presence of unknown nonuniform communication delays. We develop a delay-free transformation to remove the effect comes from communication delays. A static and a dynamic protocols are designed for full- and partial-state coupling based on discrete-time algebraic Riccati equation, which only needs rough information of communication graph.