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## Undiscounted dynamic programming problem

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## Undiscounted Dynamic Programming Problem

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Here is a nonstochastic undiscounted LQ dynamic programming with cross products between

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states and controls in the objective function.

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## Kalman filter

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## Kalman Filter

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The **duality** that prevails between a linear-quadratic optimal control and a Kalman filtering problem means that there is an analogous transformation that allows us to transform a Kalman filtering problem

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with non-zero covariance matrix between between shocks to states and shocks to measurements to an equivalent Kalman filtering problem with zero covariance between shocks to states and measurments.

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