Degenerate Diffusion Processes

[1]  Xi-Ren Cao,et al.  State Classification and Multiclass Optimization of Continuous-Time and Continuous-State Markov Processes , 2019, IEEE Transactions on Automatic Control.

[2]  Xi-Ren Cao,et al.  Semismooth Potentials of Stochastic Systems With Degenerate Diffusions , 2018, IEEE Transactions on Automatic Control.

[3]  Xi-Ren Cao,et al.  Stochastic Feedback Control With One-Dimensional Degenerate Diffusions and Nonsmooth Value Functions , 2017, IEEE Transactions on Automatic Control.

[4]  Xi-Ren Cao,et al.  Relative Time and Stochastic Control With Non-Smooth Features , 2017, IEEE Transactions on Automatic Control.

[5]  Xi-Ren Cao,et al.  State Classification of Time-Nonhomogeneous Markov Chains and Average Reward Optimization of Multi-Chains , 2016, IEEE Transactions on Automatic Control.

[6]  Martin Szydlowski,et al.  On the smoothness of value functions and the existence of optimal strategies in diffusion models , 2015, J. Econ. Theory.

[7]  Sheng Miao,et al.  Smooth Value Functions for a Class of Nonsmooth Utility Maximization Problems , 2010, SIAM J. Financial Math..

[8]  Xi-Ren Cao,et al.  Stochastic learning and optimization - A sensitivity-based approach , 2007, Annu. Rev. Control..

[9]  X. Zhou,et al.  Stochastic Controls: Hamiltonian Systems and HJB Equations , 1999 .

[10]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[11]  W. Fleming,et al.  Controlled Markov processes and viscosity solutions , 1992 .

[12]  A. Einstein,et al.  The Evolution of Physics , 1938 .