Discrete time Pontryagin principles in Banach spaces.

Mohammed Bachir 1 Joel Blot 1
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
Abstract : The aim of this paper is to establish Pontryagin's principles in a dicrete-time infinite-horizon setting when the state variables and the control variables belong to infinite-dimensional Banach spaces. In comparison with previous results on this question, we delete conditions of finiteness of codimension of subspaces. To realize this aim, the main ideas are the introduction of new recursive assumptions and useful consequences of the Baire category theorem and of the Banach isomorphism theorem.
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Article dans une revue
Pure and Applied Functional Analysis, 2017
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https://hal-paris1.archives-ouvertes.fr/hal-01576779
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Soumis le : jeudi 24 août 2017 - 00:19:41
Dernière modification le : lundi 27 novembre 2017 - 14:14:02

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Mohammed Bachir, Joel Blot. Discrete time Pontryagin principles in Banach spaces.. Pure and Applied Functional Analysis, 2017. 〈hal-01576779〉

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