Titlebook: Optimal Control Methods for Linear Discrete-Time Economic Systems; Yasuo Murata Book 1982 Springer-Verlag New York Inc. 1982 Control.Dynam

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Macroeconomic Policies and Instrument Instability,ve objective function involving an instrument cost (Section 1.4). Finally, in Section 1.5, we modify the optimization problem into a standard control problem so that we come naturally to the subsequent chapters.

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Stabilization of Economic Systems under the Government Budget Constraint,he economy by applying the optimal control methods established in Chapter 5, using some numerical examples. A similar numerical stabilization analysis is presented in Section 6.5 for an open economy under the government budget constraint and under fixed and flexible exchange rates.

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Book 1982reby establish the motivation for our departure into the optimal control world. Chapter 2 provides fundamental concepts and propositions for controlling linear deterministic discrete-time systems, together with some economic applica- tions and numerical methods. Our optimal control rules are in the

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em and thereby establish the motivation for our departure into the optimal control world. Chapter 2 provides fundamental concepts and propositions for controlling linear deterministic discrete-time systems, together with some economic applica- tions and numerical methods. Our optimal control rules are in the 978-1-4612-5739-4978-1-4612-5737-0

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Filters for Linear Stochastic Discrete-Time Systems,, and we rely exclusively on Tse and Athans (1970). Their idea is to minimize the covariance matrix of estimation errors and to establish a dynamic minimal-order observer-estimator. The estimator is also applied to a general distributed-lag system. Finally, in Section 4.5, related economic applications are presented and examined.

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Observers for Linear Discrete-Time Systems,3 we show that the optimal control incorporating any observer incurs a cost rise, and hence in Section 3.4 we derive an observer that has the minimum cost performance. Finally, in Section 3.5, we examine the relationship between observer and controller and establish a separation principle for designing them with minimal overall associated cost.