| 1 |
Ansari Q H. Ekeland's variational principle and its extensions with applications//Almezel S, et al. Topics in Fixed Point Theory. Switzerland: Springer International Publishing, 2014: 65-100
|
| 2 |
Bensoussan A , Yam S C P , Zhang Z . Well-posedness of mean-field type forward-backward stochastic differential equations. Stoch Process Appl, 2015, 125: 3327- 3354
doi: 10.1016/j.spa.2015.04.006
|
| 3 |
Buckdahn R , Djehiche B , Li J . A general stochastic maximum principle for SDEs of mean-field type. Appl Math Optim, 2011, 64: 197- 216
doi: 10.1007/s00245-011-9136-y
|
| 4 |
Buckdahn R , Djehiche B , Li J , Peng S G . Mean-field backward stochastic differential equations. A limit approach. Ann Probab, 2009, 125: 1524- 1565
|
| 5 |
Buckdahn R , Li J , Peng S G . Mean-field backward stochastic differential equations and related partial differential equations. Stoch Process Appl, 2009, 119: 3133- 3154
doi: 10.1016/j.spa.2009.05.002
|
| 6 |
Gomes D A , Patrizi S . Weakly coupled mean-field game systems. Nonlinear Analysis, 2016, 144: 110- 138
doi: 10.1016/j.na.2016.05.017
|
| 7 |
Kohlmann M , Zhou X Y . Relationship between backward stochastic differential equations and stochastic controls:a linear-quadratic approach. SIAM J Control Optim, 2000, 38: 1392- 1407
doi: 10.1137/S036301299834973X
|
| 8 |
Lasry J M , Lions P L . Mean field games. Japan J Math, 2007, 2: 229- 260
doi: 10.1007/s11537-007-0657-8
|
| 9 |
Li J . Stochastic maximum principle in the mean-field controls. Automatica, 2012, 48: 366- 373
doi: 10.1016/j.automatica.2011.11.006
|
| 10 |
Li J . Mean-field forward and backward SDEs with jumps and associated nonlocal quasi-linear integralPDEs. Stoch Process Appl, 2017
doi: 10.1016/j.spa.2017.10.011
|
| 11 |
Li R J , Liu B . A maximum principle for fully coupled stochastic control systems of mean-field type. J Math Anal Appl, 2014, 415: 902- 930
doi: 10.1016/j.jmaa.2014.02.008
|
| 12 |
Ma H P , Liu B . Maximum principle for partially observed risk-sensitive optimal control problems of meanfield type. Eur J Control, 2016, 32: 16- 23
doi: 10.1016/j.ejcon.2016.05.002
|
| 13 |
Meyer-Brandis T , Ãksendal B , Zhou X Y . A mean-field stochastic maximum principle via Malliavin calculus. Stochastics:An International Journal of Probab and Stoch Process, 2012, 84: 643- 666
doi: 10.1080/17442508.2011.651619
|
| 14 |
Ni Y H , Li X , Zhang J F . Mean-field stochastic linear-quadratic optimal control with Markov jump parameters. Systems Control Lett, 2016, 93: 69- 76
doi: 10.1016/j.sysconle.2016.04.002
|
| 15 |
Qi Q Y , Zhang H S . Necessary and sufficient solution to optimal control for linear continuous time meanfield system. IFAC PapersOnLine, 2017, 50: 1495- 1501
doi: 10.1016/j.ifacol.2017.08.298
|
| 16 |
Shen Y , Sui T K . The maximum principle for a jump-diffusion mean-field model and its application to the mean-variance problem. Nonlinear Analysis, 2013, 86: 58- 73
doi: 10.1016/j.na.2013.02.029
|
| 17 |
Wang G C , Xiao H , Xing G J . An optimal control problem for mean-field forward-backward stochastic differential equation with noisy observation. Automatica, 2017, 86: 104- 109
doi: 10.1016/j.automatica.2017.07.018
|
| 18 |
Wu Z . A general maximum principle for optimal control of forward-backward stochastic systems. Automatica, 2013, 49: 1473- 1480
doi: 10.1016/j.automatica.2013.02.005
|
| 19 |
Yong J M , Zhou X Y . Stochastic Controls, Hamiltonian Systems and HJB Equations. New York: SpringerVerlag, 1999
|
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