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We present the applications of reachability methods and computational tools based on game theory to a problem in air traffic management. The use of such methods in air traffic has been proposed several times in the past. It has, however, been hampered by the fact that most of the concepts of operation proposed for restructuring the current air traffic management system either impose too many constraints...
In this paper, the problem of aircraft conflict prediction is formulated as a reachability analysis problem for a stochastic hybrid system. A switching diffusion model is introduced to predict the future positions of an aircraft following a given flight plan. The weak approximation of the switching diffusion through a Markov chain allows us to develop a numerical algorithm for computing an estimate...
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