Wednesday 12 February 2014 h. 14:30, room 2BC30

Athena Picarelli (ENSTA ParisTech and INRIA Saclay-Ile de France)

"Reachability problems via level set approach"

Abstract

Given a controlled dynamical system, the characterization of the backward reachable set, i.e. the set of initial states from which it is possible to reach a given target set, can be very interesting in many applications. However realistic models may involve some constraints on state and/or control variables (for taking into account physical or economical constraints, obstacles, etc.) and this can make the characterization of this set much more complicated.

After an introduction to the notion of backward reachability in the deterministic as well in the stochastic framework, aim of the talk is to present a technique, based on a level set approach, for characterizing and numerically computing the reachable set also if state constraints are taken into account.