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Time Domain Solution Analysis and Novel Admissibility Conditions of Singular Fractional-Order Systems.
- Source :
-
IEEE Transactions on Circuits & Systems. Part I: Regular Papers . Feb2021, Vol. 68 Issue 2, p842-855. 14p. - Publication Year :
- 2021
-
Abstract
- This paper investigates the regularity, non-impulsiveness, stability and admissibility of the singular fractional-order systems with the fractional-order $\alpha \in (0,1)$. Firstly, the structure, existence and uniqueness of the time domain solutions of singular fractional-order systems are analyzed based on the Kronecker equivalent standard form. The necessary and sufficient condition for the regularity of singular fractional-order systems is proposed on the basis of the above analysis. Secondly, the necessary and sufficient conditions of non-impulsiveness as well as stability are obtained based on the proposed time domain solutions of singular fractional-order systems, respectively. Thirdly, two novel sufficient and necessary conditions for the admissibility of singular fractional-order systems are derived including the non-strict linear matrix inequality form and the linear matrix inequality form with equality constraints. Finally, two numerical examples are given to show the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15498328
- Volume :
- 68
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Circuits & Systems. Part I: Regular Papers
- Publication Type :
- Periodical
- Accession number :
- 148207850
- Full Text :
- https://doi.org/10.1109/TCSI.2020.3036412