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Aircraft conflict prediction can be naturally formulated as a reachability analysis problem in a stochastic hybrid system framework. In this technical note, a switching diffusion model is adopted to predict the future positions of an aircraft following a given flight plan, and the probability that the aircraft will enter an unsafe region of the airspace is estimated through a numerical algorithm for reachability computations. Simulation results are reported to illustrate the approach.
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Prandini et al. (2009) studied this question.
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