Title :
Stability circle criterion with spatial harmonic linearisation for nonlinear distributed-parameter systems
Author_Institution :
University of Quebec at Montreal, Department of Mathematics, Montreal, Canada
Abstract :
A 1-dimensional, 1-distributed-parameter nonlinear system which exhibits a structure similar to that of the standard nonlinear control loop with lumped-parameter elements, is considered from the viewpoint of its input-output stability. An approached stability circle criterion, available in the context of a linearisation with respect to the distributed parameter, is stated.
Keywords :
distributed parameter networks; distributed parameter systems; linearisation techniques; nonlinear network analysis; nonlinear systems; stability; stability criteria; circle criterion; distributed parameter systems; linearisation techniques; nonlinear systems; spatial harmonic linearisation; stability criteria;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19720206