Control òptim estocàstic

Abstract

[en] The main goal of this project is to study the relationship between two classic methods that are used in solving optimal control problems: Pontryagin’s maximum principle and Bellman’s dynamic programming. Throughout the project, two different cases are always laid out at the same time: the deterministic case and the stochastic case. Beginning with a stochastic calculus introduction and an exhaustive description of the optimal control problem, the two solving methods are studied separately in order to conclude with a comparison between both of them.