Stochastic near-optimal control: additive, multiplicative, non-Markovian and applications

Autor: Lima, Lourival, Ruffino, Paulo, Souza, Francys
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1140/epjs/s11734-021-00185-y
Popis: In this survey we present the near-optimal stochastic control problem according to some recent tools in the literature. In particular, we focus on the approach of a discretization of the noise values instead of the canonical time-discretization. This is the so called {\it skeleton} structure. This allows to obtain an $\epsilon$-optimal control in non-Markovian systems (the main Theorem). A simple example illustrates the technique. The importance of the approach is emphasised in a final section on open problems related to more geometrical framework and discontinuous noise.
Databáze: arXiv