China Science Journal

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

YU Yao^1,2 JIAO Zhuang³ SUN Chang-Yin^1,2
1.School of Automation Electrical Engineering, University of Science and Technology Beijing,Beijing,100083,China
2.Key Laboratory of Advanced Control of Iron and Steel Process, Ministry of Education,Beijing,100083,China
3.Beijing Institute of Electronic System Engineering,Beijing,100854,China

Abstract：
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)

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