Switching in Time-Optimal Problem: the 3D Case with 2D Control

被引：8
|
作者：
Agrachev, Andrei A. [1 ,2 ]
Biolo, Carolina [1 ]
机构：
[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[2] Steklov Math Inst, Moscow 119991, Russia
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2017年 / 23卷 / 03期
关键词：
Optimal control; Lie brackets; Switching; OPTIMAL TRAJECTORIES; REGULARITY;
D O I：
10.1007/s10883-016-9342-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study local structure of time-optimal controls and trajectories for a 3D control-affine system with a 2D control parameter with values in the disk. In particular, we give sufficient conditions, in terms of Lie bracket relations, for optimal controls to be smooth or to have only isolated jump discontinuities.
引用
收藏
页码：577 / 595
页数：19
相关论文
共 50 条
  • [1] Switching in Time-Optimal Problem: the 3D Case with 2D Control
    Andrei A. Agrachev
    Carolina Biolo
    [J]. Journal of Dynamical and Control Systems, 2017, 23 : 577 - 595
  • [2] SWITCHING IN TIME-OPTIMAL PROBLEM WITH CONTROL IN A BALL
    Agrachev, Andrei A.
    Biolo, Carolina
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (01) : 183 - 200
  • [3] Planning Near Time-Optimal Trajectories in 3D
    Mayer, Annika
    Sonntag, Marcus
    Sawodny, Oliver
    [J]. 2017 IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (CCTA 2017), 2017, : 1613 - 1618
  • [4] ON THE MUSKAT PROBLEM: GLOBAL IN TIME RESULTS IN 2D AND 3D
    Constantin, Peter
    Cordoba, Diego
    Gancedo, Francisco
    Rodriguez-Piazza, Luis
    Strain, Robert M.
    [J]. AMERICAN JOURNAL OF MATHEMATICS, 2016, 138 (06) : 1455 - 1494
  • [5] Time Optimal Control Problem of the 2D MHD Equations with Memory
    Dang Thanh Son
    Nguyen Duong Toan
    [J]. Journal of Dynamical and Control Systems, 2023, 29 : 1323 - 1355
  • [6] Time Optimal Control Problem of the 2D MHD Equations with Memory
    Son, Dang Thanh
    Toan, Nguyen Duong
    [J]. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (04) : 1323 - 1355
  • [7] Time Optimal Self-assembly for 2D and 3D Shapes: The Case of Squares and Cubes
    Becker, Florent
    Remila, Eric
    Schabanel, Nicolas
    [J]. DNA COMPUTING, 2009, 5347 : 144 - +
  • [8] Transitioning from 2D to 3D: The benefits of switching to 3D far outweigh what 2D offers
    IDSA
    不详
    [J]. Cadalyst, 2006, 9 (39-41):
  • [9] 2D and 3D Traveling Salesman Problem
    Haxhimusa, Yll
    Carpenter, Edward
    Catrambone, Joseph
    Foldes, David
    Stefanov, Emil
    Arns, Laura
    Pizlo, Zygmunt
    [J]. JOURNAL OF PROBLEM SOLVING, 2011, 3 (02): : 167 - 193
  • [10] On the structure of the singular set of solutions in one class of 3D time-optimal control problems
    Uspenskii, A. A.
    Lebedev, P. D.
    [J]. VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2021, 31 (03): : 471 - 486
12345