分数阶广义离散线性系统的点完备性和点退化性

IF 1.2 4区工程技术 Q3 ENGINEERING, MULTIDISCIPLINARY

Bulletin of the Polish Academy of Sciences-Technical Sciences Pub Date : 2023-11-06 DOI:10.24425/BPASTS.2019.130891

T. Kaczorek

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引用次数: 2

摘要

将矩阵的Drazin逆应用于分数阶广义线性离散系统的点完备性和点退化性分析。建立了分数阶广义线性离散系统的点完备性和点退化性的充分必要条件。证明了每一个分数阶广义线性离散系统都不是点完全的，它是在一步中点退化的(对于i = 1)。

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The pointwise completeness and the pointwise degeneracy of fractional descriptor discrete-time linear systems

The Drazin inverse of matrices is applied to analysis of the pointwise completeness and of the pointwise degeneracy of the fractional descriptor linear discrete-time systems. Necessary and sufficient conditions for the pointwise completeness and the pointwise degeneracy of the fractional descriptor linear discrete-time systems are established. It is shown that every fractional descriptor linear discrete-time systems is not pointwise complete and it is pointwise degenerated in one step (for i = 1).

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来源期刊

Bulletin of the Polish Academy of Sciences-Technical Sciences 工程技术-工程：综合

CiteScore

2.80

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Bulletin of the Polish Academy of Sciences: Technical Sciences is published bimonthly by the Division IV Engineering Sciences of the Polish Academy of Sciences, since the beginning of the existence of the PAS in 1952. The journal is peer‐reviewed and is published both in printed and electronic form. It is established for the publication of original high quality papers from multidisciplinary Engineering sciences with the following topics preferred: Artificial and Computational Intelligence, Biomedical Engineering and Biotechnology, Civil Engineering, Control, Informatics and Robotics, Electronics, Telecommunication and Optoelectronics, Mechanical and Aeronautical Engineering, Thermodynamics, Material Science and Nanotechnology, Power Systems and Power Electronics.