Adriano Festa

  Adriano Festa - ICL

• Main host organisation: Imperial College London, UK
  
• Supervisor: Richard Vinter
• Secondment organisation: Inria Saclay - Ile de France
• Nationality: Italian
• Fellowship duration: March 2012 - September 2013
• festa@ensta.fr
• Web:   http://www.adrianofesta.altervista.org/

• Background: Adriano obtained a PhD in Optimal Control from the Università di Roma - La Sapienza in 2012.

SADCO Project title: Higher order optimality conditions and numerical validation of local optimality

Standard second order sufficient conditions of optimality imply not only that a putative minimizer is a true, local minimizer, but that the minimizer is locally unique. They do not cover optimal control problems then, in which minimizers are not unique. There are many important cases in which uniqueness is not present (when perhaps the cost is invariant under rotations, time translations, etc.).

We aim to derive second order sufficient conditions covering some of these cases. We also intend to develop numerical schemes, related to this work, for assessing when a control, obtained by applying an algorithm based on first order necessary conditions, is in fact locally optimal.

SADCO related publications