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    <abstract>In an important class of linear stochastic control problems distributed-lag state or control variables appear in the dynamics or in the observations. Optimal control and estimation theory is derived for such problems in discrete time using a simple procedure. 

The results reduce computations from order N-cubed in the usual methods to order N-squared; they show the special structure of the time-lag controller and estimator more clearly; and they correspond closely to the known results for the continuous-time case.</abstract>
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