Some Properties of the Aggregate Flow Model of Air Traffic

This paper examines the stability and response characteristics of the aggregate flow model of air traffic, described in the literature. It is shown that the transfer functions between the inputs and outputs are proper with fewer zeros than poles. Root loci of several input/output transfer functions are shown. Numerical results are presented to show the variation of eigenvalues, derived from the system matrices, as a function of time. It is shown that the modes of the system, eigenvalues, contribute significantly to different states at different times of the day.