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.
Sensitivity of continuous system eigenvalues to finite difference discretization is determined from low-order Taylor approximations to quant.ized system variables. Compensat.ion for discretization is possible through either state .feedback parameter augmentation or higher-order forward path integrat-ion.
Closed-loop realizability of multivariable systems discretized by non-closed-looprealizable rectangular integration is achieved in a general formulation incorporating a minimum additional number of sampling/data delays. The quasi-continuous representation of discretized linear systems extends to include the realizable forms.
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