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Resonance and stability conditions for fractional transfer functions of the second kind

Abstract : Fractional transfer functions of the second kind are studied in this chapter. First, stability conditions are established in terms of pseudo-damping factor and commensurable order. Then, resonance conditions are determined. An open-loop analysis of the equivalent closed-loop transfer function of the second kind confirms the analysis.
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Contributor : Rachid Malti <>
Submitted on : Wednesday, January 28, 2009 - 11:40:59 PM
Last modification on : Tuesday, March 31, 2020 - 2:12:13 PM

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  • HAL Id : hal-00356888, version 1

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Rachid Malti, Xavier Moreau, Firas Khemane. Resonance and stability conditions for fractional transfer functions of the second kind. New Trends in Nanotechnology and Fractional Calculus Applications, Springer ISBN: 978-90-481-3292-8, pp.429-444, 2010. ⟨hal-00356888⟩

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