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Continuous adjoint method for Air Traffic Flow Management

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2 Author(s)
Issam S. Strub ; Ph.D. student, Department of Civil and Environmental Engineering, University of California, Berkeley CA 94720-1710. strub@ce.berkeley.edu ; Alexandre M. Bayen

This article develops a model of air traffic flow using an Eulerian description with hyperbolic partial differential equations. Existence and uniqueness (well-posedness) of a solution to the system of partial differential equations on a network is established. Subsequently, an optimal control problem is studied with the junction coefficients as control variables. We use a continuous adjoint approach and we implement it on a network with 16 links and 5 junctions, demonstrating the computational efficiency of this method

Published in:

Proceedings of the 45th IEEE Conference on Decision and Control

Date of Conference:

13-15 Dec. 2006