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Existence and Continuity Properties of Optimal Controls

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Deterministic and Stochastic Optimal Control

Part of the book series: Applications of Mathematics ((SMAP,volume 1))

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Abstract

In the two previous chapters we found necessary conditions for a minimum in problems of calculus of variations and optimal control. We turn now to a different question: does the performance index J in fact attain its minimum value? This is the existence problem.

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© 1975 Springer-Verlag New York Inc.

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Fleming, W., Rishel, R. (1975). Existence and Continuity Properties of Optimal Controls. In: Deterministic and Stochastic Optimal Control. Applications of Mathematics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6380-7_3

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  • DOI: https://doi.org/10.1007/978-1-4612-6380-7_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6382-1

  • Online ISBN: 978-1-4612-6380-7

  • eBook Packages: Springer Book Archive

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