Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:3-1-1
Session:
Number:3-1-1-5
On Brayton and Moser’s Missing Stability Theorem
Dimitri Jeltsema, Jacquelien M.A. Scherpen,
pp.691-694
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
In the early sixties Brayton and Moser proved three theorems concerning the stability of nonlinear electrical circuits. The applicability of each theorem depends on three different conditions on the type of admissible nonlinearities in circuit. Roughly speaking, this means that the theorems apply to either circuits that contain purely linear resistors or conductors?combined with linear or nonlinear inductors and capacitors, or to circuits that contain purely linear inductors and capacitors?combined with linear or nonlinear resistors and conductors. This brief note presents a generalization of Brayton and Moser’s stability theorems that also includes the analysis of circuits that contain nonlinear resistors, conductors, inductors and/or capacitors at the same time.