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

✍ Scribed by Wim Michiels; Kirk Green; Thomas Wagenknecht; Silviu-Iulian Niculescu

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
537 KB
Volume
418
Category
Article
ISSN
0024-3795

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✦ Synopsis

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

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