# CONTROL AND OBSERVATION OF PDEs WITH FREDHOLM INTEGRALS

Séance du jeudi 23 avril 2015, Salle L 218, 14h.
Federico BRIBIESCA ARGOMEDO, Assistant Professor, Ampère Laboratory, INSA de Lyon
In this talk an integral transform is presented which allows the construction of boundary control and observation laws for partial differential equations with Fredholm integrals. These systems do not have a strict-feedback structure and thus the standard backstepping approach cannot be applied. The focus of the presentation will be on first-order hyperbolic systems although some results for second-order parabolic systems will also be presented. The main remaining challenge is the extension of the class of coefficients for which the well-posedness of the kernel equations can be guaranteed.