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Article Dans Une Revue Mathematical and computational applications Année : 2018

First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World

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Isabelle Santos
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Résumé

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. 1 Navigation functions designed specifically to produce flyable trajectories have been previously 2 considered, but lack the robustness to uncertain weather conditions needed for use in an operational 3 context. These uncertainties can be taken into account be modifying the boundary of the domain 4 on which the navigation function is computed. In the following work, we present a method for 5 efficiently taking into account boundary variations, using the Hadamard variation. 6
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Dates et versions

hal-01855142 , version 1 (07-08-2018)

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Isabelle Santos, Stéphane Puechmorel, Guillaume Dufour. First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World. Mathematical and computational applications, 2018, 23, 3, ⟨10.3390/mca23030048⟩. ⟨hal-01855142⟩
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