Chen, C. F.2022-06-282022-06-28196913829850https://hdl.handle.net/10657/10081The Fast Fourier Transform has demonstrated its power in the fields of communication, optics etc. It has never been applied to control system analysis. This thesis presents the fundamentals of the Fast Fourier Transform first; then develops several related theorems for Laplace transforms. It is believed that this is the first time to use the Fast Fourier Transform to perform the inverse Laplace transform of irrational transfer functions and transcendental transfer functions. Sixteen computer programs are included.application/pdfenThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.Thesisreformatted digital