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Linear quadratic mean field social control with common noise: A directly decoupling method?
期刊论文
AUTOMATICA, 2022, 卷号: 146, 页码: 14
作者:
Wang, Bing-Chang
;
Zhang, Huanshui
;
Zhang, Ji-Feng
收藏
  |  
浏览/下载:15/0
  |  
提交时间:2023/02/07
Mean field game
Optimal social cost
Stabilization
Finite agents
Common noise
FBSDE
A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:
Zhao, Yue
;
Mao, Zhiping
;
Guo, Ling
;
Tang, Yifa
;
Karniadakis, George Em
收藏
  |  
浏览/下载:10/0
  |  
提交时间:2023/02/07
Uncertainty quantification
Anomalous transport
Quasi Monte Carlo simulation
Generalized polynomial chaos
Long-time integration
Poly-fractonomials
Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:
Ren, Panpan
;
Roeckner, Michael
;
Wang, Feng-Yu
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  |  
浏览/下载:7/0
  |  
提交时间:2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:
Chen, Chuchu
;
Hong, Jialin
;
Lu, Yulan
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  |  
浏览/下载:4/0
  |  
提交时间:2023/02/07
 
Invariant measure
Markov chain
weak convergence
backward Euler method
stochastic differential equations with piecewise continuous arguments
Social Optima in Robust Mean Field LQG Control: From Finite to Infinite Horizon
期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 4, 页码: 1529-1544
作者:
Wang, Bing-Chang
;
Huang, Jianhui
;
Zhang, Ji-Feng
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  |  
浏览/下载:43/0
  |  
提交时间:2021/06/01
Mathematical model
Games
Robustness
Uncertainty
Optimal control
Stochastic processes
Differential equations
Forward-backward stochastic differential equation (FBSDE)
linear quadratic optimal control
mean field control
model uncertainty
social functional variation
AN EXPLICIT MULTISTEP SCHEME FOR MEAN-FIELD FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 25
作者:
Sun, Yabing
;
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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  |  
浏览/下载:3/0
  |  
提交时间:2022/04/02
Mean-field forward backward stochastic differential equations
Explicit multistep scheme
Error estimates
Mean field linear-quadratic control: Uniform stabilization and social optimality
期刊论文
AUTOMATICA, 2020, 卷号: 121, 页码: 14
作者:
Wang, Bing-Chang
;
Zhang, Huanshui
;
Zhang, Ji-Feng
收藏
  |  
浏览/下载:17/0
  |  
提交时间:2021/01/14
Mean field game
Variational analysis
Stabilization control
FBSDE
Riccati equation
Backward Stochastic Differential Equations Driven byG-Brownian Motion with Double Reflections
期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2020, 页码: 30
作者:
Li, Hanwu
;
Song, Yongsheng
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  |  
浏览/下载:47/0
  |  
提交时间:2021/01/14
G-expectation
Reflected backward SDE
Approximate Skorohod condition
Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
作者:
Fu, Yu
;
Zhao, Weidong
;
Zhou, Tao
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2020/05/24
Forward backward stochastic differential equations
stochastic optimal control
stochastic maximum principle
projected quasi-Newton methods
A UNIFIED PROBABILISTIC DISCRETIZATION SCHEME FOR FBSDEs: STABILITY, CONSISTENCY, AND CONVERGENCE ANALYSIS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2351-2375
作者:
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2021/01/14
forward backward stochastic differential equations
numerical schemes
stability
consistency
convergence analysis
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