Dynamic systems with three variable parameters

Abstract

A study of Dynamic Systems with three variable parameters is made by an initial scanning of the basic geometric properties on the three dimensional space generated by these parameters. From these geometric properties, a Root-locus technique that simplifies greatly the amount of work in analysis and design is developed. This technique is extended to systems with k variable parameters. Finally, singular lines in the parameter plane are treated as a special case of the parameter space, and formulae are derived for a fourth order system leaving the field open for systems of higher order.