In the field of air traffic control it is a significant challenge and source of risk
that often maximal performance load is charged against the regions of the airspace.
Another problem is the fact that if the air traffic control is inefficient, it brings
about substantial excess costs, as well. The article gives a new network model for
the analysis of large air traffic networks and provides new opportunities also in
the area of control theory. It reviews the relevant macroscopic modeling techniques
and the application of the class of positive systems.