© 1984

Introductory Optimization Dynamics

Optimal Control with Economics and Management Science Applications


Table of contents

  1. Front Matter
    Pages I-XIII
  2. Pierre Ninh Van Tu
    Pages 1-7
  3. Pierre Ninh Van Tu
    Pages 8-47
  4. Pierre Ninh Van Tu
    Pages 48-89
  5. Pierre Ninh Van Tu
    Pages 90-109
  6. Pierre Ninh Van Tu
    Pages 110-152
  7. Pierre Ninh Van Tu
    Pages 153-192
  8. Pierre Ninh Van Tu
    Pages 193-233
  9. Pierre Ninh Van Tu
    Pages 234-255
  10. Pierre Ninh Van Tu
    Pages 256-276
  11. Pierre Ninh Van Tu
    Pages 277-292
  12. Pierre Ninh Van Tu
    Pages 293-340
  13. Back Matter
    Pages 373-390

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.


Caculus of Variation Dynamics Economics Optimalität Sensitivitätsanlyse Variationsrechnung optimal control optimization

Authors and affiliations

  1. 1.Department of EconomicsThe University of CalgaryN. W. CalgaryCanada

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