Section: New Results

Stabilization of MISO fractional systems with delays

Participants : Le Ha Vy Nguyen, Catherine Bonnet.

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 have been derived in [103] . We have continued this year to search for explicit expressions of right coprime factorizations for some classes of systems [63] .