Optimal Control with Sweeping Processes: Numerical Method

被引：9
|
作者：
de Pinho, M. dR [1 ]
Ferreira, M. M. A. [1 ]
Smirnov, G. [2 ]
机构：
[1] Univ Porto, DEEC, SYSTEC, Fac Engn, Porto, Portugal
[2] Univ Minho, Ctr Phys, Dept Math, Braga, Portugal
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 185卷 / 03期
关键词：
Sweeping process; Optimal control; Numerical methods; Approximations; MOREAU;
D O I：
10.1007/s10957-020-01670-5
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
This paper focuses on numerical methods for a class of optimal control problems involving sweeping processes. We consider a problem, where the sweeping set is constant and coincides with the 0 level set of a C-2 convex function. For such problems, we propose a numerical method based on a sequence of approximating standard optimal control problems. We illustrate our method treating numerically an example.
引用
收藏
页码：845 / 858
页数：14
相关论文
共 50 条
  • [1] Optimal Control with Sweeping Processes: Numerical Method
    MdR de Pinho
    M. M. A. Ferreira
    G. Smirnov
    [J]. Journal of Optimization Theory and Applications, 2020, 185 : 845 - 858
  • [2] Optimal Control Involving Sweeping Processes
    de Pinho, M. D. R.
    Ferreira, M. M. A.
    Smirnov, G. V.
    [J]. SET-VALUED AND VARIATIONAL ANALYSIS, 2019, 27 (02) : 523 - 548
  • [3] Optimal Control Involving Sweeping Processes
    M. d. R. de Pinho
    M. M. A. Ferreira
    G. V. Smirnov
    [J]. Set-Valued and Variational Analysis, 2019, 27 : 523 - 548
  • [4] Correction to: Optimal Control Involving Sweeping Processes
    M. d. R. de Pinho
    M. M. A. Ferreira
    G. V. Smirnov
    [J]. Set-Valued and Variational Analysis, 2019, 27 : 1025 - 1027
  • [5] Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes
    Mordukhovich, Boris S.
    Nguyen, Dao
    [J]. JOURNAL OF CONVEX ANALYSIS, 2021, 28 (02) : 655 - 688
  • [6] Optimal control of nonconvex integro-differential sweeping processes
    Bouach, Abderrahim
    Haddad, Tahar
    Mordukhovich, Boris S.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 329 : 255 - 317
  • [7] Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
    Colombo, Giovanni
    Mordukhovich, Boris
    Dao Nguyen
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 182 (02) : 439 - 472
  • [8] Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
    Giovanni Colombo
    Boris Mordukhovich
    Dao Nguyen
    [J]. Journal of Optimization Theory and Applications, 2019, 182 : 439 - 472
  • [9] Optimal Control involving Sweeping Processes with End Point Constraints
    de Pinho, Maria do Rosario
    Ferreira, M. Margarida A.
    Smirnov, Georgi, V
    [J]. 2021 60TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2021, : 96 - 101
  • [10] Control Sweeping Processes
    Tolstonogov, A. A.
    [J]. JOURNAL OF CONVEX ANALYSIS, 2016, 23 (04) : 1099 - 1123
12345