On the stability of linear systems with fractional-order elements

A.G. Radwan, A.M. Soliman, A.S. Elwakil and A. Sedeek

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2317-2328

Abstract: Linear integer-order circuits are a narrow subset of rational-order circuits which are in turn a subset of fractional-order. Here, we study the stability of circuits having one fractional element, two fractional elements of the same order or two fractional elements of different order. A general procedure for studying the stability of a system with many fractional elements is also given. It is worth noting that a fractional element is one whose impedance in the complex frequency s-domain is proportional to sα and α is a positive or negative fractional-order. Different transformations and methods will be illustrated via examples.

Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2317-2328

DOI: 10.1016/j.chaos.2007.10.033

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