ROBUST STABILITY OF DELAY EQUATIONS IN L p ([-h, 0]; X) UNDER PARAMETER PERTURBATIONS

In this paper we study how the uniform boundedness of an operator associated with delay equation changes under affine parameter perturbations. Characterizations of the stability radius of the operator with respect to this type of disturbances are established. The obtained results are extensions of t...

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Bibliographic Details
Published in:The Rocky Mountain journal of mathematics 2013-01, Vol.43 (5), p.1427-1449
Main Authors: ANH, BUI THE, QUAN, BUI THE
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper we study how the uniform boundedness of an operator associated with delay equation changes under affine parameter perturbations. Characterizations of the stability radius of the operator with respect to this type of disturbances are established. The obtained results are extensions of the recent work presented in [10].
ISSN:0035-7596
1945-3795
DOI:10.1216/RMJ-2013-43-5-1427