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Near Optimization of Dynamic Systems by Decomposition and Aggregation

Author

Listed:
  • S. P. Sethi

    (University of Texas at Dallas)

  • Q. Zhang

    (University of Georgia)

Abstract

This paper is concerned with the reduction of a class of optimal control problems to simpler problems by using decomposition and aggregation. Decomposition is shown to provide a good approximation when the system dynamics involve nearly decomposable matrices or variables with strong and weak interactions. Aggregation provides a good approximation if each of the decomposed matrices has one or more dominant eigenvalues. It is shown how one can construct nearly-optimal controls for the given system from the optimal solutions of the simpler reduced problems.

Suggested Citation

  • S. P. Sethi & Q. Zhang, 1998. "Near Optimization of Dynamic Systems by Decomposition and Aggregation," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 1-22, October.
    • Handle: RePEc:spr:joptap:v:99:y:1998:i:1:d:10.1023_a:1021739925071
    DOI: 10.1023/A:1021739925071
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    References listed on IDEAS

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    1. J. Jiang & S. P. Sethi, 1991. "A State Aggregation Approach to Manufacturing Systems Having Machine States with Weak and Strong Interactions," Operations Research, INFORMS, vol. 39(6), pages 970-978, December.
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    Cited by:

    1. Simon, Herbert A., 2000. "Barriers and bounds to Rationality," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 243-253, July.

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