Consensus conditions of linear descriptor multi-agent systems

For descriptor multi-agent systems (DMASs) with agents described by the same or different descriptor linear time-invariant systems, the conditions of consensusability with respect to a set of admissible consensus protocols are proposed by using the tools of algebra, graph and descriptor linear system theory. The consensusability conditions depend on both the structure properties of each agent´s dynamics and the topology within the DMASs. Designing state feedback control laws can guarantee that the considered DMASs are consensusable with respect to a given admissible set. A provided example shows the applicability of the proposed approach.