Positive fractional linear electrical circuits

Tadeusz Kaczorek

doi:10.1117/12.2034370

25 October 2013 Positive fractional linear electrical circuits

Tadeusz Kaczorek

Proceedings Volume 8903, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013; 89031N (2013) https://doi.org/10.1117/12.2034370
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013, 2013, Wilga, Poland

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.

Citation Download Citation

Tadeusz Kaczorek "Positive fractional linear electrical circuits", Proc. SPIE 8903, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2013, 89031N (25 October 2013); https://doi.org/10.1117/12.2034370

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