On a Class of Control Problems with Mixed Constraints

被引：2
|
作者：
Arutyunov, A. V. [1 ]
Karamzin, D. Yu. [2 ]
机构：
[1] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow 117997, Russia
[2] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1134/S0012266123040092
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An optimal control problem with a nonregular mixed constraint linear in the controlvariable is studied. Necessary optimality conditions are proposed in the form of Pontryagin'smaximum principle for such a class of problems. The corresponding examples are considered.
引用
收藏
页码：529 / 539
页数：11
相关论文
共 50 条
  • [1] On a Class of Control Problems with Mixed Constraints
    A. V. Arutyunov
    D. Yu. Karamzin
    Differential Equations, 2023, 59 : 529 - 539
  • [2] L∞-stability for a class of parametric optimal control problems with mixed pointwise constraints
    Kien B.T.
    Qin X.
    Wen C.F.
    Wen, C.F. (cfwen@kmu.edu.tw), 1600, Biemdas Academic Publishers (02): : 297 - 320
  • [3] On a Class of Optimal Stopping Problems with Mixed Constraints
    Bruss, F. Thomas
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2010, 12 (02): : 363 - 380
  • [4] OPTIMAL CONTROL PROBLEMS WITH MIXED CONSTRAINTS
    Clarke, Francis
    de Pinho, M. R.
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2010, 48 (07) : 4500 - 4524
  • [5] Optimal control problems with mixed constraints
    Dikusar, VV
    DIFFERENTIAL EQUATIONS, 1996, 32 (11) : 1462 - 1468
  • [6] On Optimal Control Problems with Nonregular Mixed Constraints
    Becerril, Jorge
    de Pinho, Maria do Rosario
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 2410 - 2415
  • [7] Optimal Control Problems with Nonsmooth Mixed Constraints
    de Pinho, M. d. R.
    Silva, G. N.
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4781 - 4786
  • [8] NECESSARY OPTIMALITY CONDITIONS FOR A CLASS OF SEMILINEAR ELLIPTIC OPTIMAL CONTROL PROBLEMS WITH PURE STATE CONSTRAINTS AND MIXED POINTWISE CONSTRAINTS
    Kien, B. T.
    Nhu, V. H.
    Wong, M. M.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (07) : 1363 - 1383
  • [9] OPTIMAL CONTROL PROBLEMS WITH MIXED CONTROL-STATE CONSTRAINTS
    Arada, N.
    Raymond, J. -P.
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (05) : 1391 - 1407
  • [10] Optimal control for a class of mixed variational problems
    Sofonea, Mircea
    Matei, Andaluzia
    Xiao, Yi-bin
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04):
12345