Section: New Results

Stabilization of time-delay systems

Participants : Alban Quadrat, Arnaud Quadrat [SAGEM, MASSY] .

In [118] , [122] , we study the stabilization problem of a linear system formed by a simple integrator and a time-delay system. We show that the stabilizing controllers of such a system can be rewritten as the closed-loop system defined by the stabilizing controllers of the simple integrator and a distributed delay system. This result is used to study tracking problems appearing in the study of inertially stabilized platforms for optical imaging systems. Moreover, an elementary proof for the parametrization [111] of all stabilizing controllers of a stabilizable plant $-$ which does not necessarily admits doubly coprime factorizations $-$ is given in [122] .