Physical parameter sensitivity of system eigenvalues and physical model reduction (Q1771059)

A solution to the problem of sensitivity of a physical system with respect to its physical parameters is provided. For this purpose, in addition to a general analysis of participation factors and their relation to residues and eigenvalues, the use of eigenvalue sensitivity using a special state-space description is investigated. The use of system matrices with certain structure leads to clearer and simpler rules. Based on this analysis, ``effect'' matrices are introduced that indicate the relative importance of physical parameters on selected eigenvalues. A numerical example for model reduction of a single-input single-output physical system is presented.