DocumentCode
1165391
Title
Stability of Waveforms on Active Nonlinear Transmission Lines
Author
Lindgren, Allen G. ; Buratti, Richard J.
Volume
16
Issue
3
fYear
1969
fDate
8/1/1969 12:00:00 AM
Firstpage
274
Lastpage
279
Abstract
Steady propagation on both the tapered 
and 
nonlinear transmission lines is investigated and the existence of various types of neuristor waveforms demonstrated. A generalization of the direct method of Liapunov for distributed parameter systems is employed to determine the stability of the possible steady waveforms. It is shown that the criterion for waveform stability on such active nonlinear transmission lines is simply that the derivative of the steady waveform represents the minimum eigenvalue solution of the linearized perturbation equation.
and nonlinear transmission lines is investigated and the existence of various types of neuristor waveforms demonstrated. A generalization of the direct method of Liapunov for distributed parameter systems is employed to determine the stability of the possible steady waveforms. It is shown that the criterion for waveform stability on such active nonlinear transmission lines is simply that the derivative of the steady waveform represents the minimum eigenvalue solution of the linearized perturbation equation.Keywords
Active distributed-parameter networks; Stability; Transmission lines; Attenuation; Decision support systems; Distributed parameter systems; Eigenvalues and eigenfunctions; Helium; Nonlinear equations; Shape; Stability criteria; Steady-state; Transmission lines;
fLanguage
English
Journal_Title
Circuit Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9324
Type
jour
DOI
10.1109/TCT.1969.1082961
Filename
1082961
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