C. Ceci et A. Gerardi, Controlled partially observed jump processes: Dynamics dependent on the observed history, NONLIN ANAL, 47(4), 2001, pp. 2449-2460
A partially observable control problem for an R-d-valued jump process with
counting observations is studied. Dynamics dependent on the observed histor
y and common jumps between state and observation are considered. Existence
of an optimal control is discussed.