mlsanityData to 14 Oct 2026

Optimal Mass Transport over the Euler Equation

arXiv 2304.00595 ↗First posted 2 Apr 2023math.OC cs.LG cs.SYcited by 1

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Abstract (arXiv)

We consider the finite horizon optimal steering of the joint state probability distribution subject to the angular velocity dynamics governed by the Euler equation. The problem and its solution amounts to controlling the spin of a rigid body via feedback, and is of practical importance, for example, in angular stabilization of a spacecraft with stochastic initial and terminal states. We clarify how this problem is an instance of the optimal mass transport (OMT) problem with bilinear prior drift. We deduce both static and dynamic versions of the Eulerian OMT, and provide analytical and numerical results for the synthesis of the optimal controller.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 20 of its 48 references that are in the map. First posted on arXiv 2 Apr 2023.

Builds on

20 of 48 references.

References · 20

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8 more
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Citing papers per year: 2025: 1.

1 paper.

  1. 2025The Ground Cost for Optimal Transport of Angular Velocitycited by 0