A computer-aided root-locus method

An efficient computer-aided root-locus method is described The approach is based on the concept of continuation methods in which the solution of a parameterized family of algebraic problems is converted into the solution of a differential equation. The root-locus plot is obtained in a systematic manner by numerical integration. Singularities are analyzed and classified according to the properties of higher order derivatives. Depending on their classification, singular points on the root loci are taken care of accordingly.