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math.OC2026
Multi Impulse Low Earth Orbit Maneuver Synthesis Through Thrust Measure Primer Vector Conditions and Piecewise Multiple Shooting
Pedro Kuntz Puglia, Willer Gomes dos Santos, Emilien Flayac
This work sets out to apply primer vector theory to optimal impulse maneuvers in Low Earth Orbit (LEO) and adapt it to the types of perturbations encountered in this environment, w…
math.OC2025
Optimal Control of 1D Semilinear Heat Equations with Moment-SOS Relaxations
Charlie Lebarbé, Emilien Flayac, Michel Fournié +2
We use moment-SOS (Sum Of Squares) relaxations to address the optimal control problem of the 1D heat equation perturbed with a nonlinear term. We extend the current framework of mo…