On Direct Extremization of a Class of Integrals

  • George Leitmann
Part of the Advances in Computational Management Science book series (AICM, volume 4)


Based on an earlier publication, [3], a coordinate transformation is proposed, which allows the direct global extremization of a class of integrals without the use of comparison methods such as variational or field techniques. The results are, of course, equally applicable to unconstrained scalar optimal control. A motivation for the proposed method as well as applications are presented.


Optimal Control Problem Management Science Extremizing Solution Functional Identity Admissible Transforma 
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  1. [1]
    O. Bolza, Vorlesung über Variationsrechnung, Koehler und Amelang, (1949).Google Scholar
  2. [2]
    G. Leitmann, The Calculus of Variations and Optimal Control, Plenum (Kluwer), (1981).Google Scholar
  3. [3]
    G. Leitmann, A Note on Absolute Extrema of Certain Integrals, Int. J. Non-Linear Mechanics, vol. 2, pp. 55–59, (1967).CrossRefGoogle Scholar
  4. [4]
    G. Leitmann, Chapter 13, in Optimization Techniques, Academic Press, (1962).Google Scholar
  5. [5]
    G. Leitmann, Chapter 5, in Optimization Techniques, Academic Press, (1962).Google Scholar

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© Springer Science+Business Media New York 2002

Authors and Affiliations

  • George Leitmann

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