Research

RESEARCH INTEREST

My main research interests are global optimization and non-linear control.

PH.D. SUBJECT

My Ph.D. subject is the application of polynomial optimization to optimal control problems. More particularly, I am intersted on problems modelled by ordinary differential equations (ODEs) that one can transform into a measure problem using the weak formulation of ODEs. If the data of the problem happens to be polynomial, it is possible to transform this finite, non-linear problem into a infinite but linear problem in terms of moments of measure. A truncated version of this new problem can be solved numerically using semi-definite programming. My research focuses on how to formulate the original problem in terms of measures and how to exploit solutions of the truncated problem to find optimal trajectories and controls of the original problem.

PUBLICATIONS

You will find a list of my publications right here.