INFINITE DIMENSIONAL MULTIPLIERS AND PONTRYAGIN PRINCIPLES FOR DISCRETE-TIME PROBLEMS

Mohammed Bachir (1) , Joël Blot (1)

1 Equations d'evolution

The aim of this paper is to provide improvments to Pontryagin principles in infinite-horizon discrete-time framework when the space of states and of space of controls are infinite-dimensional. We use the method of reduction to finite horizon and several functional-analytic lemmas to realize our aim.

Keywords: Pontryagin principle; infinite horizon; difference equation; difference inequation; Banach spaces; Baire category; MSC 2010: 49J21; 65K05; 39A99; 46B99; 54E52

Domains: Mathematics [math]; Functional Analysis [math.FA]

Mohammed Bachir, Joël Blot. INFINITE DIMENSIONAL MULTIPLIERS AND PONTRYAGIN PRINCIPLES FOR DISCRETE-TIME PROBLEMS. 2016. ⟨hal-01338635⟩