LAPSE:2023.34571v1
Published Article
LAPSE:2023.34571v1
Formation of Characteristic Polynomials on the Basis of Fractional Powers j of Dynamic Systems and Stability Problems of Such Systems
April 27, 2023
Abstract
The article presents the creation of characteristic polynomials on the basis of fractional powers j of dynamic systems and problems related to the determination of the stability intervals of such systems.
The article presents the creation of characteristic polynomials on the basis of fractional powers j of dynamic systems and problems related to the determination of the stability intervals of such systems.
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Keywords
dynamic system, fractional order derivatives, system stability
Suggested Citation
Lozynskyy O, Mazur D, Marushchak Y, Kwiatkowski B, Lozynskyy A, Kwater T, Kopchak B, Hawro P, Kasha L, Pękala R, Ziemba R, Twaróg B. Formation of Characteristic Polynomials on the Basis of Fractional Powers j of Dynamic Systems and Stability Problems of Such Systems. (2023). LAPSE:2023.34571v1
Author Affiliations
Lozynskyy O: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine
Mazur D: Department of Electrical and Computer Engineering Fundamentals, Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Marushchak Y: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Kwiatkowski B: Department of Electrical and Computer Engineering Fundamentals, Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Lozynskyy A: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Kwater T: Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, Poland
Kopchak B: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Hawro P: Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, Poland
Kasha L: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Pękala R: Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, Poland [ORCID]
Ziemba R: Department of Electrical and Computer Engineering Fundamentals, Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Twaróg B: Department of Computer Engineering, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia Str. 1, 35-959 Rzeszow, Poland [ORCID]
Mazur D: Department of Electrical and Computer Engineering Fundamentals, Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Marushchak Y: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Kwiatkowski B: Department of Electrical and Computer Engineering Fundamentals, Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Lozynskyy A: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Kwater T: Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, Poland
Kopchak B: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Hawro P: Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, Poland
Kasha L: Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, 12 Bandera Street, 79013 Lviv, Ukraine [ORCID]
Pękala R: Institute of Technical Engineering, State University of Technology and Economics in Jaroslaw, Czarnieckiego Str. 16, 37-500 Jaroslaw, Poland [ORCID]
Ziemba R: Department of Electrical and Computer Engineering Fundamentals, Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland [ORCID]
Twaróg B: Department of Computer Engineering, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia Str. 1, 35-959 Rzeszow, Poland [ORCID]
Journal Name
Energies
Volume
14
Issue
21
First Page
7374
Year
2021
Publication Date
2021-11-05
ISSN
1996-1073
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PII: en14217374, Publication Type: Journal Article
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LAPSE:2023.34571v1
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https://doi.org/10.3390/en14217374
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