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
收藏
页码：738 / 745
页数：8
相关论文
共 50 条
  • [1] On time-optimal motions in a velocity field
    P. V. Nikolenko
    Differential Equations, 2011, 47
  • [2] Nonuniqueness set and the problem of time-optimal motions in a velocity field
    P. V. Nikolenko
    Differential Equations, 2014, 50 : 372 - 381
  • [3] Nonuniqueness set and the problem of time-optimal motions in a velocity field
    Nikolenko, P. V.
    DIFFERENTIAL EQUATIONS, 2014, 50 (03) : 372 - 381
  • [4] Heuristics in time-optimal motions
    Gawlowicz, P
    ROMOCO'01: PROCEEDINGS OF THE SECOND INTERNATIONAL WORKSHOP ON ROBOT MOTION AND CONTROL, 2001, : 147 - 149
  • [5] Time-optimal motions of robotic manipulators
    Galicki, M
    Ucinski, D
    ROBOTICA, 2000, 18 (18) : 659 - 667
  • [6] TIME-OPTIMAL MOTIONS OF ROBOTS IN ASSEMBLY TASKS
    GEERING, HP
    GUZZELLA, L
    HEPNER, SAR
    ONDER, CH
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (06) : 512 - 518
  • [7] Time-Optimal Motions of a Mechanical System with Viscous Friction
    Kamzolkin, Dmitrii
    Ternovski, Vladimir
    MATHEMATICS, 2024, 12 (10)
  • [8] QUICK STROKING - DESIGN OF TIME-OPTIMAL VALVE MOTIONS
    GOLDBERG, DE
    KARR, CL
    JOURNAL OF HYDRAULIC ENGINEERING-ASCE, 1987, 113 (06): : 780 - 795
  • [9] TIME-OPTIMAL MOTIONS OF ROBOTS IN ASSEMBLY TASKS.
    Geering, Hans P.
    Guzzella, Lino
    Hepner, Stephan A.R.
    Onder, Christopher H.
    1600, (AC-31):
  • [10] Time-optimal transfer to a sphere at zero terminal velocity
    Akulenko, LD
    Shmatkov, AM
    DOKLADY MATHEMATICS, 2001, 64 (01) : 137 - 140
12345