Stability radii of positive higher order difference systems under fractional perturbations

Bui The Anh; Vo Hanh Nguyen

doi:10.1007/s11117-009-0017-4

Stability radii of positive higher order difference systems under fractional perturbations

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

Abstract

In this paper we study stability radii of positive higher order difference systems under fractional perturbations and affine perturbations of the coefficient matrices. It is shown that real and complex stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results.

Original language	English
Pages (from-to)	285-300
Number of pages	16
Journal	Positivity
Volume	14
Issue number	2
DOIs	https://doi.org/10.1007/s11117-009-0017-4
Publication status	Published - 2010

Access to Document

10.1007/s11117-009-0017-4

Cite this

@article{be296306c2f74eadbcc8321ac9d22593,

title = "Stability radii of positive higher order difference systems under fractional perturbations",

abstract = "In this paper we study stability radii of positive higher order difference systems under fractional perturbations and affine perturbations of the coefficient matrices. It is shown that real and complex stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results.",

author = "Anh, {Bui The} and Nguyen, {Vo Hanh}",

year = "2010",

doi = "10.1007/s11117-009-0017-4",

language = "English",

volume = "14",

pages = "285--300",

journal = "Positivity",

issn = "1385-1292",

publisher = "Birkhauser Verlag Basel",

number = "2",

}

TY - JOUR

T1 - Stability radii of positive higher order difference systems under fractional perturbations

AU - Anh, Bui The

AU - Nguyen, Vo Hanh

PY - 2010

Y1 - 2010

N2 - In this paper we study stability radii of positive higher order difference systems under fractional perturbations and affine perturbations of the coefficient matrices. It is shown that real and complex stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results.

AB - In this paper we study stability radii of positive higher order difference systems under fractional perturbations and affine perturbations of the coefficient matrices. It is shown that real and complex stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results.

UR - http://www.scopus.com/inward/record.url?scp=77953476342&partnerID=8YFLogxK

U2 - 10.1007/s11117-009-0017-4

DO - 10.1007/s11117-009-0017-4

M3 - Article

AN - SCOPUS:77953476342

SN - 1385-1292

VL - 14

SP - 285

EP - 300

JO - Positivity

JF - Positivity

IS - 2

ER -

Stability radii of positive higher order difference systems under fractional perturbations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this