Next Article in Journal
Algebraic Operations on Delta-Sigma Bit-Streams
Previous Article in Journal
TL-Moments for Type-I Censored Data with an Application to the Weibull Distribution
Article Menu
Issue 3 (September) cover image

Export Article

Open AccessFeature PaperArticle
Math. Comput. Appl. 2018, 23(3), 48; https://doi.org/10.3390/mca23030048

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

1
Ecole Nationale de l’Aviation Civile (ENAC),Université de Toulouse, 31400 Toulouse, France
2
Office National d’Etudes et de Recherches Aérospatiales (ONERA), 31000 Toulouse, France
*
Author to whom correspondence should be addressed.
Received: 7 August 2018 / Revised: 7 September 2018 / Accepted: 7 September 2018 / Published: 10 September 2018
(This article belongs to the Section Engineering)
Full-Text   |   PDF [761 KB, uploaded 12 September 2018]   |  

Abstract

Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed specifically to produce flyable trajectories have been previously considered, but lack the robustness to uncertain weather conditions needed for use in an operational context. These uncertainties can be taken into account be modifying the boundary of the domain on which the navigation function is computed. In the following work, we present a method for efficiently taking into account boundary variations, using the Hadamard variation. View Full-Text
Keywords: navigation function; Hadamard formula; trajectory planning; air traffic control navigation function; Hadamard formula; trajectory planning; air traffic control
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Santos, I.; Puechmorel, S.; Dufour, G. First Order Hadamard Variation of the Harmonic Navigation Function on a Sphere World. Math. Comput. Appl. 2018, 23, 48.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top