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Computer codes and optimal control theory

  • John Casti
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 76)

Abstract

Here we have briefly sketched what, in our opinion, appears to be a program for the development of computer codes useful in optimal control theory. Taking into account the importance of feedback decisions in control, it has been shown that the methods available for solving classical variational problems and their associated BVP may not be suitable for optimal control considerations. It can only be hoped that some of the problems indicated here will soon be addressed by the computer community and that efficient, widely available codes for optimal control will soon become available.

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References

  1. [1]
    Courant, R. and D. Hilbert, Methods of Mathematical Physics, Interscience, New York, 1953.Google Scholar
  2. [2]
    Lanczos, C., Variational Principles of Mechanics, University of Toronto Press, Toronto, 1960.Google Scholar
  3. [3]
    Kalman, R., "Contributions to the Theory of Optimal Control," Boll. Soc. Mat. Mexicana, 5 (1960), 102–119.Google Scholar
  4. [4]
    Casti, J., Dynamical Systems and their Applications: Linear Theory, Academic Press, New York, 1977.Google Scholar
  5. [5]
    Casti, J., "A New Equation for the Linear Regulator Problem," Journal of Optimization Theory & Applications, 17 (1975), 169–175.Google Scholar
  6. [6]
    Beghelli, S. and R. Guidorzi, Teoria dei Sistemi: Esercizi e Programmi Fortran, Patron Editore, Bologna, Italy 1978, (Italian).Google Scholar
  7. [7]
    Melsa, J. and D. Gibson, eds. Computational Techniques and Fortran Programs for Linear Optimal Control Problems, McGraw-Hill, New York, 1970.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • John Casti
    • 1
  1. 1.Department of Computer Applications and Information SystemsNew York UniversityNew York

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