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Dr. Mourad Samir abdallah Mohmmed Semary :: Publications: |
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| Title: | Fundamentals of fractional‐order LTI circuits and systems: number of poles, stability, time and frequency responses |
| Authors: | M.S. Semary, A. G. Radwan, H.N. Hassan |
| Year: | 2016 |
| Keywords: | Not Available |
| Journal: | International Journal of Circuit Theory and Applications |
| Volume: | 44 |
| Issue: | 12 |
| Pages: | 2114-2133 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Mourad Samir abdallah Mohmmed Semary_Fundamentals of fractional-order LTI circuits and systems_ number of poles, stability, time and frequency responses - Semary - 2016 - International Journal of Circuit Theory and Applications - Wiley Online Library.pdf |
| Supplementary materials | Not Available |
| Abstract: |
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 |
