Sensitivity Analysis of a Class of Differential-difference Systems

Abstract

The paper applies the theory of sensitivity analysis to a class of dynamical systems which possess hereditary influences. The analysis finds application in predicting or extrapolating the behaviour of a system subject to changes in its parameters about their nominal values. A sub-class of systems which lead to a mathematical formulation involving linear differential-difference equations is specifically considered. Computational schemes are given for the parametric and temporal influence functions.