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Noncooperative conflict resolution [air traffic management]
Tomlin, C.   Pappas, G.J.   Sastry, S.  
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA;

This paper appears in: Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Publication Date: 10-12 Dec 1997
Volume: 2,  On page(s): 1816-1821 vol.2
Meeting Date: 12/10/1997 - 12/12/1997
Location: San Diego, CA, USA
ISBN: 0-7803-4187-2
References Cited: 16
INSPEC Accession Number: 5856441
Digital Object Identifier: 10.1109/CDC.1997.657827
Current Version Published: 2002-08-06

Abstract
Next generation air traffic management will allow for the possibility of free flight, in which each aircraft chooses its own optimal route, altitude and speed. In a free flight environment, the trajectories of several aircraft may be conflicting, in which case aircraft may or may not cooperate in resolving the conflict. This paper presents a method for noncooperative conflict resolution in which each aircraft develops a resolution strategy for the worst possible actions (within known bounds) of the other aircraft. The resolution strategy is based on noncooperative game theory: the solution to the game partitions the state space of each aircraft into safe and unsafe sets which represent level sets of the Hamilton-Jacobi equation, and the control strategies are abstracted into discrete protocols within each partition. Two examples of conflict resolution using speed and heading changes are worked out in detail

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