On approximation techniques for stochastic control with partial information

Finite-dimensional filters are used in the context of stochastic control with partial information to obtain a kind of approximate separation principle. It turns out that many technical problems are met in the study of the approximation and that some simplification is desirable. The author shows how to use partial differential equation techniques to simplify the proofs as much as possible and to permit more general classes of approximate feedback to be envisioned.<
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