English

Innovation, commutation et contr\^ole impulsionnel en horizon infini

Optimization and Control 2012-02-03 v4

Abstract

We consider an impulse control problem in infinite horizon. To solve this problem, we extend to the infinite horizon case results of double barrier reflected backward stochastic differential equations. The properties of the Snell envelope can reduce our problem to show the existence of a pair of measurable continuous processes.

Keywords

Cite

@article{arxiv.1201.2603,
  title  = {Innovation, commutation et contr\^ole impulsionnel en horizon infini},
  author = {Rim Amami},
  journal= {arXiv preprint arXiv:1201.2603},
  year   = {2012}
}