On Semisymbolic Analysis of Fractional-Order Circuits

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199619" target="_blank" >RIV/00216305:26220/26:0199619 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/60162694:G43__/26:00566230

Výsledek na webu

<a href="https://dx.doi.org/10.1109/KIT67756.2025.11205436" target="_blank" >https://dx.doi.org/10.1109/KIT67756.2025.11205436</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/KIT67756.2025.11205436" target="_blank" >10.1109/KIT67756.2025.11205436</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Semisymbolic Analysis of Fractional-Order Circuits

Popis výsledku v původním jazyce

The paper presents the implementation of a modified procedure for the semisymbolic analysis of fractionalorder linear circuits. If all exponents of the s-domain transfer function are rational numbers, it is possible, after applying the well-known s-w transformation, to decompose the function into partial fractions and perform the inverse Laplace transform. Consequently, the step or impulse response can be expressed analytically as a sum of two-parameter Mittag-Leffler functions and their derivatives. This decomposition may require calculating the roots of high-order polynomials in the auxiliary w-plane. The paper demonstrates that the transformation to the w-plane can be performed directly within the circuit matrix, and the roots can be calculated using algorithms for the generalized eigenvalue problem, which are generally better posed than polynomial root-finding algorithms. The method has been implemented experimentally in the SNAP program, which is gradually being extended with procedures for fractional-order circuits.

Název v anglickém jazyce

On Semisymbolic Analysis of Fractional-Order Circuits

Popis výsledku anglicky

The paper presents the implementation of a modified procedure for the semisymbolic analysis of fractionalorder linear circuits. If all exponents of the s-domain transfer function are rational numbers, it is possible, after applying the well-known s-w transformation, to decompose the function into partial fractions and perform the inverse Laplace transform. Consequently, the step or impulse response can be expressed analytically as a sum of two-parameter Mittag-Leffler functions and their derivatives. This decomposition may require calculating the roots of high-order polynomials in the auxiliary w-plane. The paper demonstrates that the transformation to the w-plane can be performed directly within the circuit matrix, and the roots can be calculated using algorithms for the generalized eigenvalue problem, which are generally better posed than polynomial root-finding algorithms. The method has been implemented experimentally in the SNAP program, which is gradually being extended with procedures for fractional-order circuits.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10200 - Computer and information sciences

Projekt

<a href="/cs/project/GA24-12982S" target="_blank" >GA24-12982S: Impedanční spektroskopie objektů s dynamikou necelistvého řádu: Nový přístup k modelování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

2025 Communication and Information Technologies Conference Proceedings Kit 2025 13th International Scientific Conference

ISBN

9798331573393

ISSN

—

e-ISSN

—

Počet stran výsledku

4

Strana od-do

—

Název nakladatele

Institute of Electrical and Electronics Engineers Inc.

Místo vydání

—

Místo konání akce

Vysoké Tatry

Datum konání akce

8. 10. 2025

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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