Staff Members - Benha University
Fundamentals of fractional‐order LTI circuits and systems: number of poles, stability, time and frequency responses
International Journal of Circuit Theory and Applications • 2016
Publication Information
Authors
M.S. Semary, A. G. Radwan, H.N. Hassan
Keywords
Not Available
Journal
International Journal of Circuit Theory and Applications
Publisher
Not Available
Volume
44
Issue
12
Pages
2114-2133
publication.type
International
Paper Link
Not Available
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
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