November 4, 2011, 13:45–15:00
Toulouse
Room MS 003
Decision Mathematics Seminar
Abstract
The first part of the talk surveys achievements of the last decade on polynomial optimisation and semidefinite programming (linear matrix inequalities, LMI) with a focus on the generalised problem of moments and existing software tools. The second part of the talk deals with a recent extension of these techniques to differential equations, dynamical systems and optimal control (primal problem on occupation measures, dual problem on viscosity solutions of Hamilton-Jacobi-Bellman partial differential equations).