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Optimal Control Applications in Nuclear Reactor Design and Operation

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Advances in Nuclear Science and Technology

Part of the book series: Advances in Nuclear Science and Technology ((ACRE,volume 10))

Abstract

Modern control theory has developed over the past 15 years. The state variable representation of physical systems has come into wide use in dealing with nonlinear and time-varying systems. The classical calculus of variations (1, 2, 3) has been modified and extended (4–7) to yield procedures for determining the necessary conditions for optimality. The Pontryagin maximum principle (7) is a well-known example of such extensions. Dynamic programming, (8, 9) an alternate approach to optimal control problems which has much in common with the variational and Hamilton-Jacobi formulations but is more amenable to stochastic systems and to straightforward solutions by digital computer, has also been developed. Mathematicians have applied functional analyses to optimization problems.

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Author information

Author notes

  1. W. B. Terney

    Present address: Combustion Engineering, Inc., Windsor, Connecticut, USA

Authors and Affiliations

  1. Institute für Neutronenphysik und Reactortechnik, Kernforschungszentrum Karlsruhe, Karlsruhe, West Germany

    W. B. Terney

  2. Applied Physics Division, Argonne National Laboratory, Argonne, Illinois, USA

    D. C. Wade

Authors
  1. W. B. Terney
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  2. D. C. Wade
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Editor information

Editors and Affiliations

  1. University of Houston, Houston, Texas, USA

    Ernest J. Henley

  2. University of London, London, England

    Jeffery Lewins

  3. Rensselaer Polytechnic Institute, Troy, New York, USA

    Martin Becker

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© 1977 Plenum Press, New York

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Terney, W.B., Wade, D.C. (1977). Optimal Control Applications in Nuclear Reactor Design and Operation. In: Henley, E.J., Lewins, J., Becker, M. (eds) Advances in Nuclear Science and Technology. Advances in Nuclear Science and Technology, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9913-1_1

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  • DOI: https://doi.org/10.1007/978-1-4613-9913-1_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-9915-5

  • Online ISBN: 978-1-4613-9913-1

  • eBook Packages: Springer Book Archive

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