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A rank-one perturbation result on the spectra of certain operators

Published online by Cambridge University Press:  14 November 2011

R. Datko
R. Datko
Affiliation:
Department of Mathematics, Georgetown University, Washington, D. C. 20057, U.S.A.
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Synopsis

In this note we show that certain perturbations, involving rank-one stabilising operators, which correspond to small delays in some feedback control problems, shift a part of the point spectrum of the unperturbed operator into the right-half plane.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 3-4 , 1989 , pp. 337 - 346
Copyright
Copyright © Royal Society of Edinburgh 1989

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