| publication name | 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 | |
| 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 | download |
| 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