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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：68/0  |  提交时间：2023/02/07
Mean field game  Optimal social cost  Stabilization  Finite agents  Common noise  FBSDE  
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
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
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
收藏  |  浏览/下载：174/0  |  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
收藏  |  浏览/下载：112/0  |  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：128/0  |  提交时间：2021/01/14
Mean field game  Variational analysis  Stabilization control  FBSDE  Riccati equation  
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：147/0  |  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：127/0  |  提交时间：2021/01/14
forward backward stochastic differential equations  numerical schemes  stability  consistency  convergence analysis  
CONTROLLABILITY OF STOCHASTIC GAME-BASED CONTROL SYSTEMS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 卷号: 57, 期号: 6, 页码: 3799-3826
作者:  Zhang, Renren;  Guo, Lei
收藏  |  浏览/下载：154/0  |  提交时间：2020/09/23
noncooperative stochastic differential games  hierarchical structure  game-based control systems  Nash equilibrium  controllability  forward-backward stochastic differential equations