Stability of Spatially Distributed, Intersecting Aircraft Flows Under Sequential Conflict Resolution Schemes

TL;DR

This paper analyzes the stability of intersecting aircraft flows under sequential conflict resolution, using realistic flow models and pseudo-random geometries to derive bounds and demonstrate stability across various configurations.

Contribution

It introduces a realistic aircraft flow model with pseudo-random geometry and derives asymmetric bounds on aircraft deviation, proving stability under conflict resolution.

Findings

Stability is maintained for all flow geometries studied.

Derived upper bounds on aircraft deviation during conflict resolution.

Flow geometry impacts the symmetry of deviation bounds.

Abstract

This paper discusses the effect of sequential conflict resolution maneuvers of an infinite aircraft flow through a finite control volume. Aircraft flow models are utilized to simulate traffic flows and determine stability. Pseudo-random flow geometry is considered to determine airspace stability in a more random airspace, where aircraft flows are spread over a given positive width. The use of this aircraft flow model generates a more realistic flow geometry. A set of upper bounds on the maximal aircraft deviation during conflict resolution is derived. Also with this flow geometry it is proven that these bounds are not symmetric, unlike the symmetric bounds derived in previous papers for simpler flow configurations. Stability is preserved under sequential conflict resolution algorithms for all flow geometries discussed in this paper.