Abstract
Discovery of the Maximum Principle for the needs of optimal control and its subsequent development give a classical example of a theory, which initially emerged as an effective device for solving a purely engineering problem not amenable by existing methods, and eventually developed into a mathematical theory of major significance.
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References
V. G. Boltyanski, R. V. Gamkrelidze, and L. S. Pontryagin, On the Theory of Optimal Processes, Doklady Akad. Nauk SSSR 110 (1956), pp. 7–10. (Russian)
V. G. Boltyanski, R. V. Gamkrelidze, and L. S. Pontryagin, The Theory of Optimal Processes I. The Maximum Principle, Izvest Akad. Nauk SSSR, Ser. Mat. 24 (1960), pp. 3–42. (Russian)
L. S. Pontryagin, Optimal Processes of Regulation, Proc. of the International Math. Congress, Edinburgh, 14–21. August, 1958, Cambridge UP (1960). (English)
A. A. Agrachev, R. V. Gamkrelidze, Feedback--Invariant Optimal Control Theory and Differential Geometry I. Regular Extremals, Journal of Dynamical and Control Systems 3(1997), No. 3, pp. 343–389. (English)
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Gamkrelidze, R.V. (2003). Discovery of the Maximum Principle in Optimal Control. In: Booß-Bavnbek, B., Høyrup, J. (eds) Mathematics and War. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8093-0_8
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DOI: https://doi.org/10.1007/978-3-0348-8093-0_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1634-1
Online ISBN: 978-3-0348-8093-0
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