Cooperative output regulation problem for linear time-delay multi-agent systems under switching network

In this paper, we study the cooperative output regulation problem for linear time-delay multi-agent systems subject to jointly connected switching network. We first establish two lemmas that lay the foundation for solving the problem and then present the solution to the problem by both the dynamic state feedback control law and the dynamic measurement output feedback control law. Our results not only extend the existing results on linear multi-agent systems without time-delay to linear time-delay multi-agent systems, but also lead to the solution of the leader-following consensus problem of some typical linear time-delay multi-agent systems.