pontryagin’s principle

Sensitivity analysis for relaxed optimal control problems with final-state constraints

  • Joseph Frédéric Bonnans
  • Laurent Pfeiffer
  • Oana Silvia Serea
    • Categories Systems governed by Differential Equations Optimization Tags , , , , ,

    In this article, we compute a second-order expansion of the value function of a family of relaxed optimal control problems with final-state constraints, parameterized by a perturbation variable. The sensitivity analysis is performed for controls that we call R-strong solutions. They are optimal solutions with respect to the set of feasible controls with a uniform … Read more

    Sensitivity analysis for the outages of nuclear power plants

  • Kengy Barty
  • Joseph Frédéric Bonnans
  • Laurent Pfeiffer
    • Categories Control Applications Tags , , ,

    Nuclear power plants must be regularly shut down in order to perform refueling and maintenance operations. The scheduling of the outages is the first problem to be solved in electricity production management. It is a hard combinatorial problem for which an exact solving is impossible. Our approach consists in modelling the problem by a two-level … Read more