On Semisymbolic Analysis of Fractional-Order Circuits

Result code in 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>
Alternative codes found
RIV/60162694:G43__/26:00566230
Result on the web
<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>

Result language
angličtina
Original language name
On Semisymbolic Analysis of Fractional-Order Circuits
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GA24-12982S" target="_blank" >GA24-12982S: Impedance spectroscopy of objects with fractional dynamics: New modeling approach</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
2025 Communication and Information Technologies Conference Proceedings Kit 2025 13th International Scientific Conference
ISBN
9798331573393
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
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Publisher name
Institute of Electrical and Electronics Engineers Inc.
Place of publication
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Event location
Vysoké Tatry
Event date
Oct 8, 2025
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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