Published Journal in the Journal of Circuit Theory and Application

NISC Center would like to congratulate Dr. Ahmed G. Radwan for his accepted Journal Papers in 2016, Which is published in the Journal of Circuit Theory and Application

  1. Mourad S. Semary, Ahmed G. Radwan, Hany N. Hassan, “Fundamentals of Fractional-Order LTI Circuits and Systems: Number of Poles, Stability, Time and Frequency Responses,” International Journal of Circuit Theory and Application, in press 2016

This paper investigates some basic concepts of fractional-order linear time invariant systems related to their physical and non-physical transfer functions, poles, stability, time domain, frequency domain, and their relationships for different fractional-order differential equations. The analytical formula that calculates the number of poles in physical and non-physical s-plane for different orders is achieved and verified using many practical examples. The stability contour versus the number of poles in the physical s-plane for different fractional-order systems is discussed in addition to the effect of the non-physical poles on the steady state responses. Moreover, time domain responses based on Mittag-Leffler functions for both physical and non-physical transfer functions are discussed for different cases, which confirm the stability analysis. Many fractional-order linear time invariant systems based on fractional-order differential equations have been discussed numerically in both time and frequency domains to validate the previous fundamentals. Copyright © 2016 John Wiley & Sons, Ltd.

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