Stochastic linear-quadratic optimal control problems - Recent developments

被引:0
|
作者
Sun, Jingrui [1 ,2 ]
Yong, Jiongmin [3 ]
机构
[1] Southern Univ Sci & Technol, Dept Math, Shenzhen Key Lab Safety & Secur Next Generat Ind I, Shenzhen 518055, Guangdong, Peoples R China
[2] Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Guangdong, Peoples R China
[3] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA
关键词
Linear-quadratic; Optimal control; Open-loop solvability; Closed-loop solvability; Forward-backward stochastic differential; equation; Differential Riccati equation; Algebraic Riccati equation; SUM DIFFERENTIAL-GAMES; OPEN-LOOP; RANDOM-COEFFICIENTS; EQUATIONS;
D O I
10.1016/j.arcontrol.2023.100899
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we present a brief survey for some recent developments of stochastic linear-quadratic optimal controls. We mainly concentrate on the results obtained by the authors and their collaborators in the last decay.
引用
收藏
页数:11
相关论文
共 50 条
  • [31] GENERALIZED PROCESSES IN LINEAR-QUADRATIC OPTIMAL-CONTROL PROBLEMS
    MEGRETSKY, AV
    VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA, 1988, (02): : 114 - 116
  • [32] STOCHASTIC LINEAR-QUADRATIC OPTIMAL CONTROL PROBLEMS WITH RANDOM COEFFICIENTS AND MARKOVIAN REGIME SWITCHING SYSTEM
    Wen, Jiaqiang
    Li, Xun
    Xiong, Jie
    Zhang, Xin
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (02) : 949 - 979
  • [33] Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations with Jumps
    Tang, Maoning
    Meng, Qingxin
    ASIAN JOURNAL OF CONTROL, 2019, 21 (02) : 809 - 823
  • [34] Linear-quadratic optimal control problems for discrete descriptor systems
    Kurina, G
    SYSTEM STRUCTURE AND CONTROL 2001, VOLS 1 AND 2, 2001, : 261 - 266
  • [35] Milyutin's theorem in linear-quadratic optimal control problems
    Arutyunov, AV
    DIFFERENTIAL EQUATIONS, 2001, 37 (11) : 1627 - 1630
  • [36] Solving linear-quadratic optimal control problems on parallel computers
    Bennera, Peter
    Quintana-Orti, Enrique S.
    Quintana-Orti, Gregorio
    OPTIMIZATION METHODS & SOFTWARE, 2008, 23 (06): : 879 - 909
  • [37] Indefinite Mean-Field Stochastic Linear-Quadratic Optimal Control
    Ni, Yuan-Hua
    Zhang, Ji-Feng
    Li, Xun
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) : 1786 - 1800
  • [38] A stochastic linear-quadratic optimal control problem with jumps in an infinite horizon
    Wu, Jiali
    Tang, Maoning
    Meng, Qingxin
    AIMS MATHEMATICS, 2023, 8 (02): : 4042 - 4078
  • [39] Optimal control of backward stochastic differential equations: The linear-quadratic case
    Lim, AEB
    Zhou, XY
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 2890 - 2895
  • [40] SINGULAR PERTURBATIONS IN A STOCHASTIC LINEAR-QUADRATIC OPTIMAL-CONTROL PROBLEM
    GLIZER, VY
    DIFFERENTIAL EQUATIONS, 1990, 26 (05) : 531 - 536