线性离散分数系统线性凸组合的可控性

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.2022.143102

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Controllability of linear convex combination of linear discrete-time fractional systems

. In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an inﬁnite problem of transition matrix derivation is reduced to a ﬁnite one, which greatly simpliﬁes the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.

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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.