Stability radii of positive linear systems under fractional perturbations

Bui The Anh; Nguyen Khoa Son

doi:10.1002/rnc.1383

Stability radii of positive linear systems under fractional perturbations

Bui The Anh, Nguyen Khoa Son

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

4 Citations (Scopus)

Abstract

In this paper we study stability radii of positive linear discrete-time systems under fractional perturbations. It is shown that real and complex stability radii coincide and can be computed by a simple formula. From the obtained results, we apply to derive estimates and computable formulae for the stability radii of positive linear delay systems. Finally, a simple example is given to illustrate the obtained results.

Original language	English
Pages (from-to)	1267-1277
Number of pages	11
Journal	International Journal of Robust and Nonlinear Control
Volume	19
Issue number	11
DOIs	https://doi.org/10.1002/rnc.1383
Publication status	Published - 25 Jul 2009
Externally published	Yes

Keywords

Fractional perturbation
Nonnegative matrix
Positive linear system
Stability radius

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10.1002/rnc.1383

Cite this

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abstract = "In this paper we study stability radii of positive linear discrete-time systems under fractional perturbations. It is shown that real and complex stability radii coincide and can be computed by a simple formula. From the obtained results, we apply to derive estimates and computable formulae for the stability radii of positive linear delay systems. Finally, a simple example is given to illustrate the obtained results.",

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AU - Anh, Bui The

AU - Son, Nguyen Khoa

PY - 2009/7/25

Y1 - 2009/7/25

N2 - In this paper we study stability radii of positive linear discrete-time systems under fractional perturbations. It is shown that real and complex stability radii coincide and can be computed by a simple formula. From the obtained results, we apply to derive estimates and computable formulae for the stability radii of positive linear delay systems. Finally, a simple example is given to illustrate the obtained results.

AB - In this paper we study stability radii of positive linear discrete-time systems under fractional perturbations. It is shown that real and complex stability radii coincide and can be computed by a simple formula. From the obtained results, we apply to derive estimates and computable formulae for the stability radii of positive linear delay systems. Finally, a simple example is given to illustrate the obtained results.

KW - Fractional perturbation

KW - Nonnegative matrix

KW - Positive linear system

KW - Stability radius

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U2 - 10.1002/rnc.1383

DO - 10.1002/rnc.1383

M3 - Article

AN - SCOPUS:68149147398

SN - 1049-8923

VL - 19

SP - 1267

EP - 1277

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 11

ER -

Stability radii of positive linear systems under fractional perturbations

Abstract

Keywords

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