Robust stability of delay equations in L-p([-h, 0]; X) under parameter perturbations

Bui The Anh; Bui The Quan

doi:10.1216/RMJ-2013-43-5-1427

Robust stability of delay equations in L-p([-h, 0]; X) under parameter perturbations

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Abstract

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].

Original language	English
Pages (from-to)	1427-1449
Number of pages	23
Journal	Rocky Mountain Journal of Mathematics
Volume	43
Issue number	5
DOIs	https://doi.org/10.1216/RMJ-2013-43-5-1427
Publication status	Published - 2013
Externally published	Yes

Keywords

C0-semigroup
Delay equation
Perturbation
Stability radius

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10.1216/RMJ-2013-43-5-1427

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title = "Robust stability of delay equations in L-p([-h, 0]; X) under parameter perturbations",

abstract = "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].",

keywords = "C0-semigroup, Delay equation, Perturbation, Stability radius",

author = "Anh, {Bui The} and Quan, {Bui The}",

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doi = "10.1216/RMJ-2013-43-5-1427",

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AU - Anh, Bui The

AU - Quan, Bui The

PY - 2013

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AB - 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].

KW - C0-semigroup

KW - Delay equation

KW - Perturbation

KW - Stability radius

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DO - 10.1216/RMJ-2013-43-5-1427

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SN - 0035-7596

VL - 43

SP - 1427

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JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 5

ER -

Robust stability of delay equations in L-p([-h, 0]; X) under parameter perturbations

Abstract

Keywords

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