Stabilization of MISO fractional systems with delays

We consider multi-input single-output (MISO) fractional systems of commensurate fractional orders with different input or output delays. We derive explicit expressions of left and right coprime factorizations over H∞ and of the associated Bézout factors of the transfer matrix of the systems. These factors allow the construction of the Youla-Kučera parametrization of the set of stabilizing controllers which guarantee the internal stability of the closed-loop systems.