A Dynamic Programming Formulation for the Nonlinear Filter
Optimization and Control
2021-11-02 v1 Probability
Abstract
This paper build on our recent work where we presented a dual stochastic optimal control formulation of the nonlinear filtering problem [1]. The constraint for the dual problem is a backward stochastic differential equations (BSDE). The solution is obtained via an application of the maximum principle (MP). In the present paper, a dynamic programming (DP) principle is presented for a special class of BSDE-constrained stochastic optimal control problems. The principle is applied to derive the solution of the nonlinear filtering problem.
Cite
@article{arxiv.2111.00109,
title = {A Dynamic Programming Formulation for the Nonlinear Filter},
author = {Jin Won Kim and Prashant G. Mehta},
journal= {arXiv preprint arXiv:2111.00109},
year = {2021}
}