Section: New Results
Stabilization of time-delay systems
Participants : Alban Quadrat, Arnaud Quadrat [SAGEM, MASSY] .
In  ,  , 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  of all stabilizing controllers of a stabilizable plant which does not necessarily admits doubly coprime factorizations is given in  .