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arXiv · 2407.07379

Lorentzian problems on the Heisenberg group

I. A. Galyaev·Yu. L. Sachkov
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Abstract

Three left-invariant Lorentzian problems on the Heisenberg group are considered. The Pontryagin maximum principle was applied to both problems and a parameterization of abnormal and normal extremal trajectories was obtained. Reachability sets and the existence of optimal trajectories are investigated.

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I. A. Galyaev, Yu. L. Sachkov. 2024-07-10. Lorentzian problems on the Heisenberg group. https://arxiv.org/abs/2407.07379

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