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Introductory Optimization Dynamics

Optimal Control with Economics and Management Science Applications

  • Textbook
  • © 1984

Overview

Authors:
  1. Pierre Ninh Tu

    1. Department of Economics, The University of Calgary, N. W. Calgary, Canada

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    • Pierre Ninh Van Tu
    Pages 1-7

  3. The Calculus of Variations

    • Pierre Ninh Van Tu
    Pages 8-47

  4. Boundary Conditions in Variational Problems

    • Pierre Ninh Van Tu
    Pages 48-89

  5. Second Variations and Sufficiency Conditions

    • Pierre Ninh Van Tu
    Pages 90-109

  6. Optimal Control: The Variational Approach

    • Pierre Ninh Van Tu
    Pages 110-152

  7. Constrained Optimal Control Problems

    • Pierre Ninh Van Tu
    Pages 153-192

  8. Linear Optimal Control

    • Pierre Ninh Van Tu
    Pages 193-233

  9. Stabilization Control Models

    • Pierre Ninh Van Tu
    Pages 234-255

  10. Discrete Control Systems

    • Pierre Ninh Van Tu
    Pages 256-276

  11. Sensitivity Analysis

    • Pierre Ninh Van Tu
    Pages 277-292

  12. Some Economic and Management Applications

    • Pierre Ninh Van Tu
    Pages 293-340

  13. Back Matter

    Pages 373-390
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Keywords

About this book

Optimal Control theory has been increasingly used in Economi- and Management Science in the last fifteen years or so. It is now commonplace, even at textbook level. It has been applied to a great many areas of Economics and Management Science, such as Optimal Growth, Optimal Population, Pollution control, Natural Resources, Bioeconomics, Education, International Trade, Monopoly, Oligopoly and Duopoly, Urban and Regional Economics, Arms Race control, Business Finance, Inventory Planning, Marketing, Maintenance and Replacement policy and many others. It is a powerful tool of dynamic optimization. There is no doubt social sciences students should be familiar with this tool, if not for their own research, at least for reading the literature. These Lecture Notes attempt to provide a plain exposition of Optimal Control Theory, with a number of economic examples and applications designed mainly to illustrate the various techniques and point out the wide range of possible applications rather than to treat exhaustively any area of economic theory or policy. Chapters 2,3 and 4 are devoted to the Calculus of Variations, Chapter 5 develops Optimal Control theory from the Variational approach, Chapter 6 deals with the problems of constrained state and control variables , Chapter 7, with Linear Control models and Chapter 8, with stabilization models. Discrete systems are discussed in Chapter 9 and Sensitivity analysis in Chapter 10. Chapter 11 presents a wide range of Economics and Management Science applications.

Authors and Affiliations

  • Department of Economics, The University of Calgary, N. W. Calgary, Canada

    Pierre Ninh Tu

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