A New Method of Examining the Stability of Linear Systems Using a Repetitive Differential Analyzer

Abstract

The paper describes a method of examining the stability of linear systems which is based on a conformal transformation of the system equation and the application of Cauchy's principle of the argument. The method requires only the use of operational amplifiers of a repetitive analyzer and it has a number of important advantages over other methods which use analog-computing equipment. Using a very simple transformation, it is possible with this method to examine the stability of linear systems as well as to determine the damping constant. The results can be viewed directly on the screen of a cathode-ray oscilloscope.