Sufficient and Necessary Condition of Admissibility for Fractional-order Singular System

This paper focuses on the admissibility condition for fractional-order singular system with order α ∈ (0, 1). The definitions of regularity, impulse-free and admissibility are given first, then a sufficient and necessary condition of admissibility for fractional-order singular system is established. A numerical example is included to illustrate the proposed condition.