Publications

@conference{BenHmed2014c,

title = {Resonance study of an elementary fractional transfer function of the third kind},

author = {A. Ben Hmed and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918559010\&doi=10.1109%2fICFDA.2014.6967437\&partnerID=40\&md5=51f3f51fd1030a736600ac71ffd6702d},

doi = {10.1109/ICFDA.2014.6967437},

year  = {2014},

date = {2014-01-01},

journal = {2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014},

abstract = {This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition is established numerically in terms of the non commensurate order and the pseudo-damping factor. Many frequency-domain curves are given to determine graphically the pseudo-damping factor and the non commensurate order for a desired normalized gain and normalized resonant frequency. Illustrative examples are presented to show the correctness and the usefulness of these curves. © 2014 IEEE.},

note = {Cited by: 3},

keywords = {Calculations, Canonical form, Damping, Damping factors, Differentiation (calculus), Fractional calculus, Frequency domain analysis, Frequency domain curves, Frequency domains, Natural frequencies, Normalized gains, Resonance, Stability condition, Systems analysis, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}

@conference{BenHmed2014e,

title = {Resonance study of an elementary fractional transfer function of the third kind},

author = {A. Ben Hmed and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84918559010\&doi=10.1109%2fICFDA.2014.6967437\&partnerID=40\&md5=51f3f51fd1030a736600ac71ffd6702d},

doi = {10.1109/ICFDA.2014.6967437},

year  = {2014},

date = {2014-01-01},

journal = {2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014},

abstract = {This work is devoted to the stability and resonance study of the elementary fractional transfer function of the third kind. Some basic properties of this transfer function which is written in the canonical form and characterized by a non commensurate order, a pseudo-damping factor and a natural frequency, are presented. A resonance and stability condition is established numerically in terms of the non commensurate order and the pseudo-damping factor. Many frequency-domain curves are given to determine graphically the pseudo-damping factor and the non commensurate order for a desired normalized gain and normalized resonant frequency. Illustrative examples are presented to show the correctness and the usefulness of these curves. © 2014 IEEE.},

note = {Cited by: 3},

keywords = {Calculations, Canonical form, Damping, Damping factors, Differentiation (calculus), Fractional calculus, Frequency domain analysis, Frequency domain curves, Frequency domains, Natural frequencies, Normalized gains, Resonance, Stability condition, Systems analysis, Transfer functions},

pubstate = {published},

tppubtype = {conference}

}