Athena Picarelli

Athena is an Italian PhD student recruited by INRIA. She is working on First and Second Order Hamilton-Jacobi equations for State-Constrained Control Problems and will be seconded to La Sapienza University of Rome.

 Athena_Picarelli.jpg Athena Picarelli - INRIA

  • Main host organisation: INRIA Saclay Ile de France, France
  • Supervisor: Hasnaa Zidani
  • Secondment organisation: Università degli studi di Padova, Italy
  • Nationality: Italian
  • Fellowship duration: November 2011 - April 2014
  • Background: Athena obtained her master's degree from "La Sapienza" University of Rome in 2011 on Numerical methods for solving Hamilton-Jacobi-Bellman equation.
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  • SADCO project: First and Second Order Hamilton-Jacobi equations for State-Constrained Control Problems

The formulation of optimal control problems involving realistic models typically involves constraints on control and state variables, to take account of a target to be reached, mechanical or thermal constraints, obstacles, etc. When constraints are present and when, as is often the case, rather severe controllability conditions are not satisfied, it is known that the value function may be discontinuous. However the nature of its possible discontinuities are not well understood. Discontinuities in the system equations also give rise to discontinuous value functions. This research aims to provide a detailed characterization of value functions as discontinuous viscosity and bilateral solutions of Hamilton-Jacobi equations, for a broad class of optimal control problems involving constraints, unbounded controls, stochastic models and discontinuous coefficients. We aim also to investigate the regularity of the value function along optimal trajectories for a number of optimal control problems of interest, including that of minimizing the distance function along geodesics.


  • SADCO-related publications 



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