From nonsmooth transport equations to difference inclusions: a new tool in control – ROTATION

This project proposes a new methodology able to tame discontinuities for the control of a class of nonsmooth partial differential equations (PDEs), namely transport equations subject to dynamic controllers. Indeed, such systems model many applications such as the drilling system or the earthquake phenomenon. Our goal is to provide new tools and a new viewpoint to treat such equations in a unifying manner so that we are able to stabilize and regulate them, and also to treat the case where these controls are subject to a dynamics, as it is the case in the applications mentioned earlier.