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Optimal Control Methods for Linear Discrete-Time Economic Sys... - 9781461257394

Description: Optimal Control Methods for Linear Discrete-Time Economic Systems Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Y. Murata Format: Paperback Publisher: Springer-Verlag New York Inc., United States Imprint: Springer-Verlag New York Inc. ISBN-13: 9781461257394, 978-1461257394 Synopsis As our title reveals, we focus on optimal control methods and applications relevant to linear dynamic economic systems in discrete-time variables. We deal only with discrete cases simply because economic data are available in discrete forms, hence realistic economic policies should be established in discrete-time structures. Though many books have been written on optimal control in engineering, we see few on discrete-type optimal control. More over, since economic models take slightly different forms than do engineer ing ones, we need a comprehensive, self-contained treatment of linear optimal control applicable to discrete-time economic systems. The present work is intended to fill this need from the standpoint of contemporary macroeconomic stabilization. The work is organized as follows. In Chapter 1 we demonstrate instru ment instability in an economic stabilization problem 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 form of feedback from known state variables of the preceding period. When state variables are not observable or are accessible only with observation errors, we must obtain appropriate proxies for these variables, which are called "observers" in deterministic cases or "filters" in stochastic circumstances. In Chapters 3 and 4, respectively, Luenberger observers and Kalman filters are discussed, developed, and applied in various directions. Noticing that a separation principle lies between observer (or filter) and controller (cf.

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Optimal Control Methods for Linear Discrete-Time Economic Sys... - 9781461257394

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Book Title: Optimal Control Methods for Linear Discrete-Time Economic Systems

Number of Pages: 202 Pages

Language: English

Publication Name: Optimal Control Methods for Linear Discrete-Time Economic Systems

Publisher: Springer-Verlag New York Inc.

Publication Year: 2011

Subject: Economics, Computer Science, Mathematics

Item Height: 235 mm

Item Weight: 338 g

Type: Textbook

Author: Y. Murata

Item Width: 155 mm

Format: Paperback

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