Graph-Theoretic Modelling and Sensitivity Analysis of Dynamic Systems

Abstract

In this paper, a graph-theoretic formulation is presented that can be used to generate governing equations for dynamic systems in a flexible, automated and efficient fashion. Furthermore, a modified formulation is presented to demonstrate the applicability of graph-theoretic methods to generate the sensitivity equations for dynamic systems. An example is provided, in which the new graph-theoretic formulation is used to generate the governing and sensitivity equations simultaneously from the linear graph representation of the systems.