Robust stability of Metzler operators under parameter perturbations

Bui The Anh; Nguyen Khoa Son

doi:10.1002/rnc.1414

Robust stability of Metzler operators under parameter perturbations

Bui The Anh, Nguyen Khoa Son

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we study how the spectral bound of Metzler operators changes under parameter perturbations. Characterizations of the stability radii of Metzler operator with respect to this type of disturbances are established. The results generalize those obtained in (Vietnam J. Math. 2006; 34:357-368; Vietnam J. Math. 1998; 26:147-163).

Original language	English
Pages (from-to)	1931-1939
Number of pages	9
Journal	International Journal of Robust and Nonlinear Control
Volume	19
Issue number	17
DOIs	https://doi.org/10.1002/rnc.1414
Publication status	Published - 25 Nov 2009
Externally published	Yes

Keywords

Metzler operator
Parameter perturbations
Stability radius

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10.1002/rnc.1414

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title = "Robust stability of Metzler operators under parameter perturbations",

abstract = "In this paper we study how the spectral bound of Metzler operators changes under parameter perturbations. Characterizations of the stability radii of Metzler operator with respect to this type of disturbances are established. The results generalize those obtained in (Vietnam J. Math. 2006; 34:357-368; Vietnam J. Math. 1998; 26:147-163).",

keywords = "Metzler operator, Parameter perturbations, Stability radius",

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AU - Son, Nguyen Khoa

PY - 2009/11/25

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N2 - In this paper we study how the spectral bound of Metzler operators changes under parameter perturbations. Characterizations of the stability radii of Metzler operator with respect to this type of disturbances are established. The results generalize those obtained in (Vietnam J. Math. 2006; 34:357-368; Vietnam J. Math. 1998; 26:147-163).

AB - In this paper we study how the spectral bound of Metzler operators changes under parameter perturbations. Characterizations of the stability radii of Metzler operator with respect to this type of disturbances are established. The results generalize those obtained in (Vietnam J. Math. 2006; 34:357-368; Vietnam J. Math. 1998; 26:147-163).

KW - Metzler operator

KW - Parameter perturbations

KW - Stability radius

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U2 - 10.1002/rnc.1414

DO - 10.1002/rnc.1414

M3 - Article

AN - SCOPUS:73649145137

SN - 1049-8923

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EP - 1939

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 17

ER -

Robust stability of Metzler operators under parameter perturbations

Abstract

Keywords

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