Masters Theses
Abstract
"The bounded input-bounded output stability is investigated for networks containing uniformly distributed LRGC, LRC, GRC and G(ω)RC elements. The region of stability in the W plane (W = e to the power of the square root of (s² + bs + c), Θ plane (Θ = the square root of (s² + bs + c), and S plane (S = s²+bs+c) is found in each case so that if the poles of a transfer function rational in W, Θ or S lie within this region the system is stable. After obtaining a desired transfer function rational in W = e to the power of the square root of (s² + bs + c), state-variable synthesis methods are applied to obtain a model with transfer functions of the form 1/W. A circuit is then given to obtain an approximate 1/W block along with the resulting error analysis. Examples are presented to illustrate the synthesis methods. The stability regions in the W, Θ and s planes for the distributed RC case are given along with the open-circuit and short-circuit relative errors as a means of comparing the different forms of distributed networks"--Abstract, page ii.
Advisor(s)
Bourquin, Jack J.
Committee Member(s)
Carson, Ralph S.
Harmon, S. M.
Department(s)
Electrical and Computer Engineering
Degree Name
M.S. in Electrical Engineering
Sponsor(s)
University of Missouri--Rolla
Publisher
University of Missouri--Rolla
Publication Date
1971
Pagination
vii, 69 pages
Rights
© 1971 James Fred Archer, All rights reserved.
Document Type
Thesis - Open Access
File Type
text
Language
English
Subject Headings
Transfer functions -- Mathematical modelsElectric networksSignal processing -- Digital techniquesElectronic data processing -- Distributed processing
Thesis Number
T 2678
Print OCLC #
6038713
Electronic OCLC #
880394157
Recommended Citation
Archer, James Fred, "Stability and synthesis of transfer functions rational in W = e to the power of the square root of T (s² + bs + c) and omega = the square root of T (s² + bs + c)" (1971). Masters Theses. 6710.
https://scholarsmine.mst.edu/masters_theses/6710