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|Title:||STOCHASTIC CONTROL PROBLEM WITH PARTIAL OBSERVATIONS|
|Authors:||HOYAM TAG ELDIN AHMED|
|Abstract:||Abstract The problem of stdchastic control with observations had been discussed. First we start with the problem of linear ﬁltering to get the best estimate for the system according to the given observations. To obtained the solution we solve Kalman ﬁlter equation. In the case of nonlinear ﬁltering the problem reduces to complete study of Zakai equation. The optimal stochastic control dynamic system had been discussed in the case of partial infonnation which yields Kalman ﬁlter. But in the case of complete observation we solve the problem using Hamilton-Jacobi equation. Finally we introduce and discuss some applications of the problem of stochastic control.|
|Description:||THESIS SUBMITTED IN FULFILMENT OF THE REQUIRMENTS FOR THE DEGREE OF PH.D IN MATHEMATICS|
|Appears in Collections:||PHD theses : Statistics|
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