Abstract
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.
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References
O. Bolza, Vorlesung über Variationsrechnung, Koehler und Amelang, (1949).
G. Leitmann, The Calculus of Variations and Optimal Control, Plenum (Kluwer), (1981).
G. Leitmann, A Note on Absolute Extrema of Certain Integrals, Int. J. Non-Linear Mechanics, vol. 2, pp. 55–59, (1967).
G. Leitmann, Chapter 13, in Optimization Techniques, Academic Press, (1962).
G. Leitmann, Chapter 5, in Optimization Techniques, Academic Press, (1962).
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Leitmann, G. (2002). On Direct Extremization of a Class of Integrals. In: Zaccour, G. (eds) Decision & Control in Management Science. Advances in Computational Management Science, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3561-1_4
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DOI: https://doi.org/10.1007/978-1-4757-3561-1_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4995-0
Online ISBN: 978-1-4757-3561-1
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