DOI: 10.3724/SP.J.1004.2013.02160

Acta Automatica Sinica (自动化学报) 2013/39:12 PP.2160-2164

Su±cient 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∈2 (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.

Key words:Fractional-order singular systems, regularity, impulse-free, admissibility

ReleaseDate:2014-07-21 17:04:32

Funds:National Outstanding Youth Science Foundation (61125306), Major Research Plan of National Natural Science Foundation of China (91016004), National Natural Science Foundation (61203071), Fundamental Research Funds for the Central Universities (FRF-TP-13-017A), and Specialized Research Fund for the Doctoral Program of Higher Education (20130006120027, 20110092110020)