Section: New Results
Stabilization of fractional neutral systems with commensurate delays
Participants : Le Ha Vy Nguyen, Catherine Bonnet.
We consider fractional neutral systems with commensurate delays which may have chains of poles asymptotic to vertical lines lying in the open left half-plane and have chains clustering the imaginary axis. Due to the latter, the system may possess infinitely many poles in the right half-plane. We prove that a class of rational fractional controllers cannot stabilize this kind of systems in the sense of except in a simple case. For this case, thanks to the fractional PI controller given in  , a parametrization of stabilizing controllers is derived  .