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Section: New Results

Stabilization of MISO fractional systems with I/O delays

In order to yield the set of all the stabilizing controllers of a class of MISO fractional systems with delays by mean of Youla-Kučera 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 [85] . Explicit expressions of right coprime factorizations and right Bézout factors for some classes of systems have also been derived in [86] . Recently, we obtain right factors for a more general class of systems. Furthermore, we present these right factors in the minimal form, i.e. factors with the minimal number of coefficients to be determined and with the lowest degree. We also obtain left factors in the minimal form.