Infinite dimensional infinite-horizon Pontryagin principles for discrete-time problems
Bachir, Mohammed ; Blot, Joël
HAL, hal-01080301 / Harvested from HAL
The aim of this paper is the extension to setting of the infinite-dimensional state and control spaces of the method of the reduction at finite horizon. This method is a way to establish Pontryagin principles for infinite-horizon discrete-time optimal control problems. We establish several new Pontryagin principles using this approach in the infinite-dimensional framework.
Publié le : 2015-07-04
Classification:  Banach spaces.,  difference equation,  difference inequation,  Pontryagin principle,  infinite horizon,  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA],  [MATH]Mathematics [math]
@article{hal-01080301,
     author = {Bachir, Mohammed and Blot, Jo\"el},
     title = {Infinite dimensional infinite-horizon Pontryagin principles for discrete-time problems},
     journal = {HAL},
     volume = {2015},
     number = {0},
     year = {2015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01080301}
}
Bachir, Mohammed; Blot, Joël. Infinite dimensional infinite-horizon Pontryagin principles for discrete-time problems. HAL, Tome 2015 (2015) no. 0, . http://gdmltest.u-ga.fr/item/hal-01080301/