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
Link To Document :
