Carathéodory's royal road of the calculus of variations: Missed exits to the maximum principle of optimal control theory
Open Access
- 1 January 2013
- journal article
- Published by American Institute of Mathematical Sciences (AIMS) in Numerical Algebra, Control & Optimization
- Vol. 3 (1) , 161-173
Abstract
International audienceThe 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 dayKeywords
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