Necessary and Sufficient Near-Optimal Conditions for Mean-Field Singular Stochastic Controls

被引:4
作者
Li, Ruijing [1 ]
Liu, Bin [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
关键词
Stochastic near-optimal control; singular control; mean-field SDE; adjoint equation; Ekeland's principle; MAXIMUM PRINCIPLE; SYSTEMS;
D O I
10.1002/asjc.954
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 consider the near-optimal control problems for mean-field singular stochastic systems, where the control domain is non-convex. By virtue of Ekeland's principle and some estimates on the state and adjoint processes, necessary and sufficient conditions for near-optimality are established in the mean-field framework. As an application, an example is presented to demonstrate the results.
引用
收藏
页码:1209 / 1221
页数:13
相关论文
共 21 条
  • [1] Optimality necessary conditions in singular stochastic control problems with nonsmooth data
    Bahlali, K.
    Chighoub, F.
    Djehiche, B.
    Mezerdi, B.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 355 (02) : 479 - 494
  • [2] A general stochastic maximum principle for singular control problems
    Bahlali, S
    Mezerdi, B
    [J]. ELECTRONIC JOURNAL OF PROBABILITY, 2005, 10 : 988 - 1004
  • [3] Bahlali S, 2008, GEN NECESSARY SUFFIC
  • [4] The relaxed stochastic maximum principle in singular optimal control of diffusions
    Bahlali, Seid
    Djehiche, Boualem
    Mezerdi, Brahim
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (02) : 427 - 444
  • [5] A General Stochastic Maximum Principle for SDEs of Mean-field Type
    Buckdahn, Rainer
    Djehiche, Boualem
    Li, Juan
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2011, 64 (02) : 197 - 216
  • [6] Mean-field backward stochastic differential equations and related partial differential equations
    Buckdahn, Rainer
    Li, Juan
    Peng, Shige
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 119 (10) : 3133 - 3154
  • [7] MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS: A LIMIT APPROACH
    Buckdahn, Rainer
    Djehiche, Boualem
    Li, Juan
    Peng, Shige
    [J]. ANNALS OF PROBABILITY, 2009, 37 (04) : 1524 - 1565
  • [8] Cadenillas A., 1994, Stochastics and Stochastics Reports, V49, P211, DOI DOI 10.1080/17442509408833921
  • [9] CLARKE F. H., 1990, Classics Appl. Math., V5, DOI [10.1137/1.9781611971309, DOI 10.1137/1.9781611971309]
  • [10] Hafayed M., 2013, J OPTIM THEORY APPL, P1