Consensus for multi-agent systems — Synchronization and regulation for complex networks

In this paper, we consider three problems, namely, the consensus (synchronization) problem, the model-reference consensus problem, and the regulation of consensus problem, for a network of identical linear time-invariant (LTI) multi input and multi-output (MIMO) agents. For each problem, we propose a distributed LTI protocol to solve such a problem for a broad class of time-invariant network topologies including not only Laplacian topologies, but a wide family of asymmetric topologies.