Constrained system perturbation analysis

Abstract

Alternative formulations of eigenvalue perturbations for unconstrained paremeter systems with distinct eigenvalues extend simply to constrained systems. Eigenvalue sensitivity matrix rank conditions determine feasibility of parameter augmentations for the inverse problem of eigenvalue placement. An eigenvector matrix perturbation equation yields another view of perturbation theory and yields simple expressions for systcms with ' singular structure ' in which eigenvectora are invariant under perturbation.