Skip to main content
Log in

Investigation of a macroeconomic model by the method of region analysis

  • Contributed Papers
  • Published:
Journal of Optimization Theory and Applications Aims and scope Submit manuscript

Abstract

A macroeconomic model on the relation between economic growth and the environment is investigated with the aim of illustrating how the method of region analysis can be used in solving practical problems formulated as regular optimal control problems with state constraints.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Phú, H. X.,On Optimal Control of a Hydroelectric Power Plant, Systems and Control Letters, Vol. 8, pp. 281–288, 1987.

    Google Scholar 

  2. Phú, H. X.,Optimal Control of a Hydroelectric Power Plant with Unregulated Spilling Water, Systems and Control Letters, Vol. 10, pp. 131–139, 1988.

    Google Scholar 

  3. Phú, H. X.,On a Linear Optimal Control Problem of a System with Circuit-Free Graph Structure, International Journal of Control, Vol. 48, pp. 1867–1882, 1988.

    Google Scholar 

  4. Phú, H. X.,Investigation of Some Inventory Problems with Linear Replenishment Cost by the Method of Region Analysis, Optimal Control Theory and Economic Analysis 3, Edited by G. Feichtinger, North-Holland, Amsterdam, Holland, pp. 195–221, 1988.

    Google Scholar 

  5. Phú, H. X.,Some Necessary Conditions for Optimality for a Class of Optimal Control Problems Which Are Linear in the Control Variable, Systems and Control Letters, Vol. 8, pp. 261–271, 1987.

    Google Scholar 

  6. Phú, H. X.,A Method for Solving a Class of Optimal Control Problems Which Are Linear in the Control Variable, Systems and Control Letters, Vol. 8, pp. 273–280, 1987.

    Google Scholar 

  7. Phú, H. X.,Solution of Some High-Dimensional Linear Optimal Control Problems by the Method of Region Analysis, International Journal of Control, Vol. 47, pp. 493–518, 1988.

    Google Scholar 

  8. Phú, H. X.,A Solution Method for Regular Optimal Control Problems with State Constraints, Journal of Optimization Theory and Applications, Vol. 62, pp. 489–513, 1989.

    Google Scholar 

  9. Feichtinger, G., andHartl, R. F.,Optimale Kontrolle Ökonomischer Prozesse, Walter de Gruyter, Berlin, Germany, 1986.

    Google Scholar 

  10. D'Arge, R. C., andKogiku, K. C. Economic Growth and the Environment, Review of Economic Studies, Vol. 40, pp. 61–77, 1973.

    Google Scholar 

  11. Pastor, K.,A Simple Macroeconomic Model with Ecological Technical Progress, Ekonomicko-Matematický Obzor, Vol. 22, pp. 320–326, 1986.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by R. Bulirsch

This paper was written when the author was invited by Professor R. Bulirsch to work at the Munich University of Technology with the assistance of the Alexander Von Humboldt Foundation. The author would like to express his sincere gratitude to the Alexander Von Humboldt Foundation and to Professor Bulirsch.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Phu, H.X. Investigation of a macroeconomic model by the method of region analysis. J Optim Theory Appl 72, 319–332 (1992). https://doi.org/10.1007/BF00940521

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00940521

Key Words

Navigation