Introduction to System Science with MATLAB, 2nd Edition

8Generalized System Analysis Methods

In this chapter, we examine some of the important considerations and methods for processing and analyzing systems. These methods include reduction and modification of inputs and outputs, normalization and transformation of system variables, parameter reduction and minimization, sensitivity analysis of system parameters, treatment of systems with feedback, and computer‐aided analysis of system models. The significance and utilization of each of these methods for specific systems are briefly addressed.

8.1 Simplification and Reduction of System Kernels

It is often possible and necessary to simplify the components of the system kernel or to reduce the number of inputs and outputs for a given system equation. Such simplification and reduction efforts are particularly useful if the system is very complex or an analytical solution for the system equation is required. It is essential for efficient system studies that the set of system equations that is finally prepared for analysis and solution be commensurate with the amount of time and effort available to perform the system analysis and evaluation. If the system equations as modeled for the system study cannot be subsequently analyzed and evaluated adequately because of the system equation’s complexity and the number of inputs and outputs, then the system study will be improperly executed and probably unsuccessful.

Efforts for model simplification usually begin by examining the system’s kernel ...