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<p><i>We study left-invariant control systems on Lie groups that are affine in control</i> (<i>drift systems</i>). <i>We find conditions under which the drift can be eliminated. We obtain a relationship between the extremal trajectories of such systems with drift and sub-Riemannian geodesics. Bibliography:</i> 22 <i>titles</i>.</p>

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EXTREMAL TRAJECTORIES OF LEFT-INVARIANT AFFINE CONTROL SYSTEMS AND SUB-RIEMANNIAN GEODESICS

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Alexey Podobryaev

摘要

We study left-invariant control systems on Lie groups that are affine in control (drift systems). We find conditions under which the drift can be eliminated. We obtain a relationship between the extremal trajectories of such systems with drift and sub-Riemannian geodesics. Bibliography: 22 titles.