Abstract
A general method able to meet the technical requirements of the process control has been developed between 1956 and 1960 by L.S. Pontryagin and his collaborators. The theory based on this method is presently considered the most powerful mathematical tool that can be used to solve optimal control problems with constraints expressed by ordinary differential equations.
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References
Marciuk, G.I.: Metode de analiza numerica. Editura Academiei, Bucuresti (1983)
Pontryaghin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., Mishchenko, E.F.: Mathematical theory of optimal processes. Wiley, New York (1962)
Tolle, H.: Optimization methods. Springer, New York (1975)
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Badescu, V. (2017). The Maximum Principle (Pontryagin). In: Optimal Control in Thermal Engineering. Studies in Systems, Decision and Control, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-52968-4_5
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DOI: https://doi.org/10.1007/978-3-319-52968-4_5
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