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World Dynamics: A Dynamic Optimization Study

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Annals of Systems Research

Part of the book series: Annals of Systems Research ((ASRE,volume 3))

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Summary

In a simplified version of Forrester’s world-model control variables have been built in in order to influence the course of world development. A criterion has been defined which is optimized with respect to these controls.

The solution of the four dimensional, nonlinear, optimal control problem — of which the control variables as well as the state variables are bounded — is obtained by a dynamic programming-approach.

An interpretation of the results is given.

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References

  1. Forrester, J. W., World Dynamics. Wright-Allen Press Inc., Cambridge, Massachusetts, 1971.

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  2. Grinten, P. M. E. M. van der, Jong, P. J. de, World Dynamics, seen from the System and Control Engineering point of view (in Dutch). Chemisch Weekblad 10–12–1971, pp. 9–11.

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  3. Cuypers, J. G. M., Two simplified versions of Forrester’s model, Automatica, (1973), pp. 399–401.

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  4. Larson, R. E., Korsak, A. J., A dynamic programming successive approximations technique with convergence proofs. Automatica, vol. 6 (1970), pp. 245–260.

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  5. National project group Global Dynamics, coordinated by O. Rademaker, Techn. University Eindhoven, The Netherlands. Two publications: verslag 1 and 2, 1972.

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  6. Graham, D., Herrick, D., Book Review of Forrester’s World Dynamics, IEEE transactions on Aut. Control, volume AC-18, no. 4, August 1973.

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Authors
  1. G. J. Olsder
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  2. R. C. W. Strijbos
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Editor information

Editors and Affiliations

  1. Department of Mathematics, de Dreijen 8, Wageningen, The Netherlands

    B. van Rootselaar

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© 1974 H. E. Stenfert Kroese B.V. / Leiden — The Netherlands

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Olsder, G.J., Strijbos, R.C.W. (1974). World Dynamics: A Dynamic Optimization Study. In: van Rootselaar, B. (eds) Annals of Systems Research. Annals of Systems Research, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4555-8_2

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  • DOI: https://doi.org/10.1007/978-1-4613-4555-8_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-90-207-0458-7

  • Online ISBN: 978-1-4613-4555-8

  • eBook Packages: Springer Book Archive

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