Compactification methods in a control problem of jump processes under partial observations

Authors: Nguyễn Hữu Dư,

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Publisher, magazine: ,

Publication year: 1998

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Abstract

In this paper, we are concerned with a control problem of the transition intensity of a Markovian jump process (X1) with values in a finite set when the observable process is a diffusion. By enlarging the director space, we prove that there exists optimal controls. The separated control problem is also considered and it is shown that there exists an optimal Markovian filter.

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