Sensitivity-state models for linear systems

Abstract

In this paper time-domain models for sensitivity analysis of linear systems have been developed. The procedures for developing those models are quite similar to the formulation of state models which are based on graph-theoretic concepts. Sensitivity analysis with respect to variations in component values, the initial conditions and the driving functions appear as three different facets of the same analytical procedure. These models admit a very convenient interpretation in terms of networks which properly can be exploited for digital computer studies. Additionally, attention is focused on developing sensitivity models for three specific types of interconnection, viz. parallel, cascade and feedback. On the basis of these models, the effect of system structure on sensitivity is studied.