Infinite dimensional analysis. A hitchhiker's guide, 2006. ,
Convergence of approximation schemes for fully nonlinear second order equations, 29th IEEE Conference on Decision and Control, pp.271-283, 1991. ,
DOI : 10.1109/CDC.1990.204046
Stochastic optimal control : the discrete time case, 1978. ,
Perturbation analysis of optimization problems. Springer Series in Operations Research, 2000. ,
Weak Dynamic Programming Principle for Viscosity Solutions, SIAM Journal on Control and Optimization, vol.49, issue.3, pp.948-962, 2011. ,
DOI : 10.1137/090752328
URL : https://hal.archives-ouvertes.fr/hal-00367355
Integral inequalities for convex functions of operators on martingales, Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, pp.223-240, 1972. ,
Discrete Approximation of Continuous Time Stochastic Control Systems, SIAM Journal on Control and Optimization, vol.21, issue.1, pp.17-40, 1983. ,
DOI : 10.1137/0321002
Short proof of a discrete gronwall inequality, Discrete Applied Mathematics, vol.16, issue.3, pp.279-281, 1987. ,
DOI : 10.1016/0166-218X(87)90064-3
Controlled Markov processes, volume 235 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1979. ,
Deterministic and stochastic optimal control, Applications of Mathematics, issue.1, 1975. ,
DOI : 10.1007/978-1-4612-6380-7
Controlled Markov processes and viscosity solutions, Applications of Mathematics, vol.25, 1993. ,
Controlled Markov processes and viscosity solutions, volume 25 of Stochastic Modelling and Applied Probability, 2006. ,
Controlled stochastic processes, 1979. ,
Stochastic Differential Equations and Diffusion Processes, 1981. ,
Approximating Value Functions for Controlled Degenerate Diffusion Processes by Using Piece-Wise Constant Policies, Electronic Journal of Probability, vol.4, issue.0, pp.1-19, 1999. ,
DOI : 10.1214/EJP.v4-39
Mean value theorems for stochastic integrals, The Annals of Probability, vol.29, issue.1, pp.385-410, 2001. ,
DOI : 10.1214/aop/1008956335
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.6270
Controlled diffusion processes, 2008. ,
DOI : 10.1007/978-1-4612-6051-6
Probability methods for approximations in stochastic control and for elliptic equations, Mathematics in Science and Engineering, vol.129, 1977. ,
Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application, Communications in Partial Differential Equations, vol.9, issue.10, pp.1101-1174, 1983. ,
DOI : 10.1080/03605308308820297
Optimal control of diffusion processes and hamilton???jacobi???bellman equations part 2 : viscosity solutions and uniqueness, Communications in Partial Differential Equations, vol.25, issue.11, pp.1229-1276, 1983. ,
DOI : 10.1080/03605308308820301
Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. III. Regularity of the optimal cost function A variational formula for stochastic controls and some applications, Nonlinear partial differential equations and their applications.Colì ege de France seminar, pp.95-205539, 1981. ,
Stochastic control theory. Dynamic programming principle, 2015. ,
The mathematical theory of optimal processes, 1986. ,
Markov decision processes: discrete stochastic dynamic programming Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics, 1994. ,
DOI : 10.1002/9780470316887
A Course on Borel Sets, 1998. ,
DOI : 10.1007/978-3-642-85473-6
Optimal stochastic control, stochastic target problems, and backward SDE, volume 29 of Fields Institute Monographs, Fields Institute for Research in Mathematical Sciences ,
Stochastic controls, Hamiltonian systems and HJB equations, 2000. ,
Controlled random sequences and Markov chains, Russian Mathematical Surveys, vol.37, issue.6, p.239, 1982. ,
DOI : 10.1070/RM1982v037n06ABEH004028