A new extension of the Cayley-Hamilton theorem to fractional different orders linear systems

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.2021.139960

Tadeusz Kaczorek

引用次数: 0

Abstract

. The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The new theorems are applied to different orders fractional linear electrical circuits. The applications of new theorems are illustrated by numerical examples.

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Cayley-Hamilton定理在分数阶线性系统中的新推广

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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.