Necessary and sufficient admissibility conditions of dynamic output feedback for singular linear fractional-order systems

This paper studies the stabilization problem for linear continuous-time singular fractional-order systems with the fractional-order alpha$$ \alpha $$ satisfying 1<alpha<2$$ 1. New formulations of the admissibility for the closed-loop system by dynamic output feedback controller are obtained using necessary and sufficient LMI$$ \mathcal{LMI} $$ (linear matrix inequality) conditions, to generalize existing results in the literature for integer-order systems. The derived results are validated by numerical examples demonstrating applicability and efficacy of the presented approach.