Title :
Some observations on the Aizerman conjecture
Author :
Atherton, D.P. ; Shankar, S.
Author_Institution :
University of New Brunswick, Electrical Engineering Department, Fredericton, Canada
fDate :
12/1/1979 12:00:00 AM
Abstract :
This paper shows that a pole transformation on a nonlinear autonomous feedback system can alter the frequency response of the linear element and eliminate those characteristics which have previously been suggested as indicators of counterexamples to the Aizerman conjecture. The root locus, however, is invariant under this transformation and examination of counterexamples has revealed common properties in their root loci.
Keywords :
feedback; frequency response; nonlinear control systems; poles and zeros; root loci; stability criteria; Aizerman conjecture; frequency response; nonlinear autonomous feedback system; pole transformation; root locus; stability;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1979.0229