On time-optimal motions in a velocity field

被引：1

作者：

Nikolenko, P. V. ^{[1
]}

机构：

[1] Rostov State Univ Econ, Rostov Na Donu, Russia

来源：

DIFFERENTIAL EQUATIONS | 2011年 / 47卷 / 05期

关键词：

Velocity Field; Cauchy Problem; Optimal Trajectory; Level Line; Jump Discontinuity;

D O I：

10.1134/S0012266111050120

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a point in a velocity field on the plane, we consider the problem of finding a control bringing it to the origin in the fastest possible way. For some plane-parallel fields, we construct a trajectory that goes to the origin and is the only possible optimal trajectory.

引用

页码：738 / 745

页数：8

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