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

Abstract : 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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https://hal-enac.archives-ouvertes.fr/hal-01855142
Contributor : Stephane Puechmorel <>
Submitted on : Tuesday, August 7, 2018 - 2:28:12 PM
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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, MDPI, 2018, 23, 3, ⟨10.3390/mca23030048⟩. ⟨hal-01855142⟩

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