How to control Linear Systems with switching delays

We consider the controller design problem for discrete-time LTI systems with state feedback, when the actuation signal is subject to switching propagation delays, due to e.g. the routing in a multi-hop communication network. Even though the systems studied here are inherently switching systems, we show that their particular structure allows for analytical understanding of the dynamics, and efficient algorithms for some problems. For instance, we give an algorithm that computes the minimal look-ahead knowledge of the delays necessary to achieve (deadbeat) controllability.