The sensitivity of the poles of linear, closed-loop systems

Abstract
One method of evaluating the constancy of dynamic response of a system is to determine how sensitive the poles of the system are to variations of the system parameters. If the sensitivity of a pole to one particular parameter is known, then for small variations of the parameter, the total change in the pole position may be easily computed. This method is used to show how dynamic error analysis in linear computer setups may be accomplished in a straightforward manner. The definition is also of some value as a general tool in the analysis of linear feedback systems.