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

TL;DR

This paper establishes a comprehensive necessary and sufficient condition for the admissibility of fractional-order singular systems with order between 0 and 1, enhancing understanding of their stability and regularity.

Contribution

It introduces a new, precise criterion for admissibility in fractional-order singular systems, filling a gap in existing stability analysis methods.

Findings

The paper provides a necessary and sufficient condition for admissibility.

A numerical example demonstrates the effectiveness of the proposed condition.

The study clarifies the concepts of regularity and impulse-free behavior in fractional systems.

Abstract

This paper has been withdrawn. This paper focuses on the admissibility condition for fractional-order singular system with order $\alpha \in (0,1)$. 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.