Wednesday 27 May 2015 h. 14:30, room 2BC30

Thien Thuy Le Thi (Padova, Dip. Mat.)

"Controllability and the numerical approximation of the minimum time function"

Abstract

In optimal control theory, minimum time problems are of interest since they appear in many applications such as robotics, automotive, car industry, etc.. The scope of this talk is to give a brief introduction of these problems. Controllability conditions under various settings are considered. Such conditions play a vital role in studying the regularity of the minimum time function T(x). Moreover, we will also introduce the HJB equation associated with a minimum time problem and approaches to computing T(x) approximately.