A colloquium took place on Wednesday, June 28, 2023,
in Ecole des Ponts ParisTech Coriolis building, Room B211
17:00-18:00 : welcome coffee
Title: Stabilization of evolution equations.
Abstract: Control theory is about asking oneself: “if I can act on a system, what can I make it do ?”. One of the main branches of this theory is about understanding how to act on a system as a function of what we measure. This is called stabilization. Stabilization combines many theoretical questions in mathematics (e.g. well-posedness of the system, spectral inequalities, optimal control theory, propagation of singularities) with many practical applications (autonomous vehicles, robotics, space industry, etc.). One of the great difficulties of this subject is that it is very difficult to find generic results for infinite dimensional systems (e.g. models of fluid mechanics, electromagnetism, flux propagation, etc.). In this talk, we’ll set out the basics of this subject, as well as a new promising approach to find generic results: the F-equivalence (also known as generalized backstepping).