English

Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable

Probability 2017-05-30 v1

Abstract

In the present paper we derive the existence and uniqueness of a solution for the optimal control problem determined by a stochastic FitzHugh-Nagumo equation with recovery variable. In particular due the cubic non-linearity in the drift coefficients, standard techniques cannot be applied so that the Ekeland's variational principle has to be exploited.

Keywords

Cite

@article{arxiv.1705.10227,
  title  = {Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable},
  author = {Francesco Cordoni and Luca Di Persio},
  journal= {arXiv preprint arXiv:1705.10227},
  year   = {2017}
}