Engel群上幂零次黎曼问题的共轭点
Conjugate points in nilpotent sub-Riemannian problem on the Engel group
摘要：
考虑了恩格尔群上的左不变子Riemannian问题。这个问题是非常重要的幂零近似的非完整系统在四维空间的二维控制，例如一个系统，它描述了移动拖车机器人的运动。本文研究了极值轨线的局部最优性和共轭时间的估计。
英文摘要：
The left-invariant sub-Riemannian problem on the Engel group is considered. This problem is very important as nilpotent approximation of nonholonomic systems in four-dimensional space with two-dimensional control, for instance of a system which describes movement of mobile trailer robot. We study the local optimality of extremal trajectories and estimate conjugate time in this article.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
