English

Complex variables for fractional-order systems

Signal Processing 2026-03-26 v2

Abstract

This paper discusses and summarizes some results on complex variables that are very useful in fractional-order systems analysis and design, specifically when the system is analyzed in the frequency domain. The author hopes that this document will serve as a handy reference when performing computations with complex variables, especially when working within the Laplace and Fourier domains. The reader can refer to Table I for the summary of these formulas.

Keywords

Cite

@article{arxiv.1811.01514,
  title  = {Complex variables for fractional-order systems},
  author = {Emmanuel A. Gonzalez},
  journal= {arXiv preprint arXiv:1811.01514},
  year   = {2026}
}

Comments

4 pages

R2 v1 2026-06-23T05:03:52.397Z