Sections

Numerical methods for differential games ***Provided position***

Location: Università degli Studi di Roma - La Sapienza (application deadline: June 30, 2011 or until position is filled).

  • Location: Università degli Studi di Roma - La Sapienza  (Italy)
  • Secondment: University of Bayreuth (Germany) 
  • Contact: Maurizio Falcone
  • Application deadline: June 30, 2011 or until position is filled
  • Description of the subject: The approximation of the value function for differential games is a difficult task due to the presence of  discontinuities in the solution. In fact, even for rather simple classical problems such as the homicidal chauffeur the value function has jump discontinuities. Although the schemes derived by dynamic programming techniques have shown to be effective, a complete and satisfactory convergence theory is still missing for the discontinuous case. The aim of this project area is to provide such a convergence theory. We shall also examine procedures for the approximate synthesis of the feedback control via the value function. Here, new theory is required to show that the approximate optimal trajectories obtained by numerical synthesis converge to the true optimal trajectories, in the limit as the discretization parameters tend to zero.
  • Requirements: PhD in Applied mathematics. Strong knowledge in partial differentail equations, numerical analysis. High skills in scientific computing

 

Document Actions