State synchronization in the presence of unknown, nonuniform and arbitrary large communication delays

This paper studies synchronization for multi-agent systems with agents that are identical and introspective (i.e. agents have access to their own states) and coupled through a network with unknown nonuniform and arbitrary large communication delays. Exact knowledge of the network is not available but only one specific lower bound is available. When the system is running, a given constant desired trajectory is provided to one of the agents. The objective is to design a decentralized protocol such that the multi-agent system achieves state synchronization for all possible networks, for any reference trajectory consistent with the system dynamics and for any arbitrary large nonuniform communication delay.