Accession Number : AD0474129

Title :   AN ITERATIVE PROCEDURE FOR THE ANALYSIS OF NONLINEAR NETWORKS.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CA STANFORD ELECTRONICS LABS

Personal Author(s) : Burrus, C. S.

Report Date : AUG 1965

Pagination or Media Count : 80

Abstract : The purpose of this work is to obtain a practical analytical method for the analysis of certain nonlinear networks. To do this, an iterative procedure is developed, and its ability to easily generate good approximate solutions is examined. Association of an auxiliary linear system with the nonlinear system provides the basis of the method, and iterations are carried out by driving the linear system with an error function obtained from the nonlinear system. A proof is given showing that the procedure coverages for a wide variety of auxiliary linear systems. Application of the method is made to a first-order nonlinear equation using several different auxiliary linear equations; it is shown that the choice of linear equation determines the time interval over which the approximation is best. Picard's successive-approximation method is shown to be a special case of the iterative procedure, wherein the auxiliary linear model is a pure integrator; however, if a small-signal linearization is used to select the auxiliary linear model, the procedure is then shown to be very similar to the classical method of perturbations. (Author)

Descriptors :   (*NETWORKS, NONLINEAR SYSTEMS), ELECTRICAL NETWORKS, SPRINGS, TIME, INTEGRAL EQUATIONS, EQUATIONS, ERRORS, ITERATIONS.

Subject Categories : Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE