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Carathéodory's royal road of the calculus of variations: Missed exits to the maximum principle of optimal control theory

Abstract : The purpose of the present paper is to show that the most prominent results in optimal control theory, the distinction between state and control variables, the maximum principle, and the principle of optimality, resp. Bellman's equation are immediate consequences of Carathéodory's achievements published about two decades before optimal control theory saw the light of day.
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https://hal.inria.fr/hal-00916629
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, December 10, 2013 - 2:58:11 PM
Last modification on : Saturday, May 29, 2021 - 7:18:11 PM

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Hans-Josef Pesch. Carathéodory's royal road of the calculus of variations: Missed exits to the maximum principle of optimal control theory. Numerical Algebra, Control and Optimization, American Institute for Mathematical Sciences, 2013, 3 (1), pp.161 - 173. ⟨10.3934/naco.2013.3.161⟩. ⟨hal-00916629⟩

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