Air Traffic Management Complexity Metric based on Lyapunov Exponents

Saam N. Hasan and Anthony Rossiter


Complexity, Air Traffic Management, Air Traffic Control, Lyapunov Exponents


This paper addresses a different technique in evaluating aircraft complexity in an Air Traffic Management (ATM) environment using Lyapunov Exponents. This approach uses a different characterisation method when evaluating the exponent. This technique can be useful when Air Traffic Controllers (ATC) carry out Advanced Traffic Flow Management (TFM) functions of horizons larger than 20 minutes and it facilitates the use of designing trajectories so that congestions can be limited and to minimise maneuverability. A numerical example is given and it demonstrates its efficacy and also identify some of the pitfalls of this approach that can be addressed in the future.

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