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.
Type de document :
Article dans une revue
Numercial Algebra, Control and Optimization, AIMS, 2013, 3 (1), pp.161 - 173. 〈10.3934/naco.2013.3.161〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00916629
Contributeur : Estelle Bouzat <>
Soumis le : mardi 10 décembre 2013 - 14:58:11
Dernière modification le : lundi 21 mars 2016 - 17:38:41

Lien texte intégral

Identifiants

Collections

Citation

Hans-Josef Pesch. Carathéodory's royal road of the calculus of variations: Missed exits to the maximum principle of optimal control theory. Numercial Algebra, Control and Optimization, AIMS, 2013, 3 (1), pp.161 - 173. 〈10.3934/naco.2013.3.161〉. 〈hal-00916629〉

Partager

Métriques

Consultations de la notice

84