Section: New Results
Stabilization of MIMO fractional systems with delays
Participants : Catherine Bonnet, Le Ha Vy Nguyen, Alban Quadrat.
In order to yield the set of all stabilizing controllers of a large class of MIMO fractional time-delay systems, we may look for coprime factorizations of the transfer function and their corresponding Bézout factors. As primary results, in considering stability, left coprime factorizations and left Bézout factors have been determined analytically from the transfer function. Then a particular stabilizing controller has been derived. We also proved the existence of right coprime factorizations.