Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems

Denitions for pseudospectra and stability radii of an analytic matrix function are given, where the structure of the function is exploited. Various perturbation meas- ures are considered and computationally tractable formulae are derived. The results are applied to a class of retarded delay dieren tial equations. Special properties of the pseudospectra of such equations are determined and illustrated.

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