Optimal Control Methods for Linear Discrete-Time Economic Systems

  • Yasuo Murata
Book

Table of contents

About this book

Introduction

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.

Keywords

Control Dynamische Optimierung Lineare Optimierung Stabilisierungspolitik (Wirtsch.) Time optimal control system

Authors and affiliations

  • Yasuo Murata
    • 1
  1. 1.Faculty of EconomicsNagoya City UniversityMizuhocho Mizuhoku Nagoya, 467Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-5737-0
  • Copyright Information Springer-Verlag New York 1982
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-5739-4
  • Online ISBN 978-1-4612-5737-0
  • About this book