Carathéodory on the road to the maximum principle (Q1946031)
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scientific article; zbMATH DE number 6155101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Carathéodory on the road to the maximum principle |
scientific article; zbMATH DE number 6155101 |
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Carathéodory on the road to the maximum principle (English)
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17 April 2013
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The author gives a historically-oriented exposition of Carathéodory's work on the calculus of variations. Among the interesting topics in the paper are Carathéodory's use of what, 30 years later, became known as Bellman's equation. The author also discusses how close Carathéodory came to taking the road that led from the calculus of variations to modern optimal control theory about two decades before Pontryagin formulated his maximum principle.
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history of calculus of variations
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history of optimal control
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maximum principle of optimal control
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