Stabilization of a collection of linear systems with limited information

An iterative approach is proposed in this paper to stabilize a collection of linear systems with limited communication. Each linear system is viewed as a user on an idealized shared network which grants access only to a few users at a time. Sufficient conditions on the existence of network allocation sequences that preserve the stability of the collection are developed. The main idea of the iterative approach is that the controllers are designed to make full use of the old information to stabilize the entire collection when the network channel is not available for some of the system members. Simulated examples are presented to illustrate the proposed approach.