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Pré-Publication, Document De Travail Année : 2023

Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations

Résumé

We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-SOS aka Lasserre hierarchy which allows one to significantly reduce the computation time and memory requirements compared to the case without symmetry reduction. We show that the recovery of optimal trajectories boils down to solving a symmetric parametric polynomial system. Then we illustrate our method on the symmetric integrator and the time-optimal inversion of qubits.

Dates et versions

hal-04159304 , version 1 (11-07-2023)

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Nicolas Augier, Didier Henrion, Milan Korda, Victor Magron. Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations. 2023. ⟨hal-04159304⟩
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