A new method for generalizing LMIs to infinite-dimensional systems is developed. This allows optimal estimator and controller synthesis for systems with multiple delays and multiple states with no approximation and no detectable conservatism. Currently, the supporting software can handle systems when the number of states times the number of delays is less than 50.

Recent years have seen an explosion in the use of ad-hoc, IP-based and Wifi networks for control of spatially-distributed physical systems, with applications including automotive fleets; swarms of UAVs; remote surgery; and optimization of sensor networks. These new forms of communication have dramatically decreased the cost, energy, and maintenance associated with remote regulation, but have added fundamental challenges in the form of delay, packet drops, and intermittent feedback.