Positive fractional linear electrical circuits

Tadeusz Kaczorek

Abstract

The positive fractional linear systems and electrical circuits are addressed. New classes of fractional asymptotically stable and unstable electrical circuits are introduced. The Caputo and Riemann-Liouville definitions of fractional derivatives are used to analysis of the positive electrical circuits composed of resistors, capacitors, coils and voltage ( current) sources. The positive fractional electrical and specially unstable different types electrical circuits are analyzed. Some open problems are formulated.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Bialystok University of Technology (PB)]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
- Politechnika Białostocka
Book Romaniuk Ryszard (eds.): PHOTONICS APPLICATIONS IN ASTRONOMY, COMMUNICATIONS, INDUSTRY, AND HIGH-ENERGY PHYSICS EXPERIMENTS 2013, Proceedings of SPIE, vol. 8903, 2013, 1000 20TH ST, PO BOX 10, BELLINGHAM, WA 98227-0010 USA, SPIE-INT SOC OPTICAL ENGINEERING, ISBN 978-0-8194-9785-7
Keywords in EnglishPositive; unstable; fractional; electrical circuit; system
DOIDOI:10.1117/12.2034370
LanguageEnglish
Score (nominal)0
ScoreMinisterial score = 0.0, 11-07-2020, BookChapterSeriesAndMatConfByConferenceseries
Ministerial score (2013-2016) = 0.0, 11-07-2020, BookChapterSeriesAndMatConfByConferenceseries
Publication indicators GS Citations = 3.0
Citation count*3 (2015-01-25)
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