Constrained system perturbation analysis
J. A. GIBSON, M. A. Hamilton-Jenkins · International Journal of Systems Science · 1981
Alternative formulations of eigenvalue perturbations for unconstrained parameter 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 systems with ' singular structure ' in which eigenvectors are invariant under perturbation.