Stability radii of positive linear time-delay systems under fractional perturbations

Bui The Anh; Nguyen Khoa Son; Duong Dang Xuan Thanh

doi:10.1016/j.sysconle.2008.10.003

Stability radii of positive linear time-delay systems under fractional perturbations

Bui The Anh^*, Nguyen Khoa Son, Duong Dang Xuan Thanh

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

In this paper we study stability radii of positive linear delay systems under fractional perturbations. It is shown that the three stability radii: complex, real and positive stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results. Crown

Original language	English
Pages (from-to)	155-159
Number of pages	5
Journal	Systems and Control Letters
Volume	58
Issue number	2
DOIs	https://doi.org/10.1016/j.sysconle.2008.10.003
Publication status	Published - Feb 2009
Externally published	Yes

Keywords

Fractional perturbation
Nonnegative matrix
Positive linear delay system
Stability radius

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10.1016/j.sysconle.2008.10.003

Cite this

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title = "Stability radii of positive linear time-delay systems under fractional perturbations",

abstract = "In this paper we study stability radii of positive linear delay systems under fractional perturbations. It is shown that the three stability radii: complex, real and positive stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results. Crown",

keywords = "Fractional perturbation, Nonnegative matrix, Positive linear delay system, Stability radius",

author = "Anh, {Bui The} and Son, {Nguyen Khoa} and Thanh, {Duong Dang Xuan}",

year = "2009",

month = feb,

doi = "10.1016/j.sysconle.2008.10.003",

language = "English",

volume = "58",

pages = "155--159",

journal = "Systems and Control Letters",

issn = "0167-6911",

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number = "2",

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TY - JOUR

T1 - Stability radii of positive linear time-delay systems under fractional perturbations

AU - Anh, Bui The

AU - Son, Nguyen Khoa

AU - Thanh, Duong Dang Xuan

PY - 2009/2

Y1 - 2009/2

N2 - In this paper we study stability radii of positive linear delay systems under fractional perturbations. It is shown that the three stability radii: complex, real and positive stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results. Crown

AB - In this paper we study stability radii of positive linear delay systems under fractional perturbations. It is shown that the three stability radii: complex, real and positive stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results. Crown

KW - Fractional perturbation

KW - Nonnegative matrix

KW - Positive linear delay system

KW - Stability radius

UR - http://www.scopus.com/inward/record.url?scp=58049198298&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2008.10.003

DO - 10.1016/j.sysconle.2008.10.003

M3 - Article

AN - SCOPUS:58049198298

SN - 0167-6911

VL - 58

SP - 155

EP - 159

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Stability radii of positive linear time-delay systems under fractional perturbations

Abstract

Keywords

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