  In this paper, we study the cooperative robust output regulation problem for
discrete-time linear multi-agent systems with both communication and input
delays by distributed internal model approach. We first introduce the
distributed internal model for discrete-time multi-agent systems with both
communication and input delays. Then, we define so-called auxiliary system and
auxiliary augmented system. Finally, we solve our problem by showing, under
some standard assumptions, that if a distributed state feedback control or a
distributed output feedback control solves the robust output regulation problem
of the auxiliary system, then the same control law solves the cooperative
robust output regulation problem of the original multi-agent systems.
