Section: New Results

Stabilization of MISO fractional systems with delays

Participants : Catherine Bonnet, Le Ha Vy Nguyen.

In order to yield the set of all the stabilizing controllers of a class of MISO fractional systems with delays by mean of Youla-Kucera parametrization regarding $H_{\infty }$-stability, we are interested in determining coprime factorizations of the transfer function. Explicit expressions of left coprime factorizations and left Bézout factors are derived in [51] . On the other hand, right coprime factorizations exist, and we have obtained explicit expressions for several particular cases of the studied systems.