An identification problem for partially observed infinite dimensional linear stochastic systems

Optimization ◽  
1998 ◽  
Vol 43 (3) ◽  
pp. 199-217
Author(s):  
W. Grecksch ◽  
C. Tudor
1995 ◽  
Vol 8 (3) ◽  
pp. 249-260 ◽  
Author(s):  
N. U. Ahmed ◽  
S. M. Radaideh

In this paper, we consider an identification problem for a system of partially observed linear stochastic differential equations. We present a result whereby one can determine all the system parameters including the covariance matrices of the noise processes. We formulate the original identification problem as a deterministic control problem and prove the equivalence of the two problems. The method of simulated annealing is used to develop a computational algorithm for identifying the unknown parameters from the available observation. The procedure is then illustrated by some examples.


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