The robustness of strong stability of positive homogeneous difference systems under parameter perturbations

The Bui; Nguyen Khoa Son

doi:10.1080/01630561003672620

The robustness of strong stability of positive homogeneous difference systems under parameter perturbations

The Bui, Nguyen Khoa Son

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

Abstract

In this article, we study the robustness of strong stability of the homogeneous difference systems via the concept of strong stability radii: complex, real and positive radii under parameter perturbations. We also show that in the case of positive systems, these radii coincide and can be computed by a simple formula. The results generalize those obtained in [5].

Original language	English
Pages (from-to)	97-111
Number of pages	15
Journal	Numerical Functional Analysis and Optimization
Volume	31
Issue number	2
DOIs	https://doi.org/10.1080/01630561003672620
Publication status	Published - 2010
Externally published	Yes

Keywords

Fractional perturbation
Homogeneous difference system
Positive matrix
Stability radius
Strong stability
INFINITE-DIMENSIONAL SPACES
RADII

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10.1080/01630561003672620

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title = "The robustness of strong stability of positive homogeneous difference systems under parameter perturbations",

abstract = "In this article, we study the robustness of strong stability of the homogeneous difference systems via the concept of strong stability radii: complex, real and positive radii under parameter perturbations. We also show that in the case of positive systems, these radii coincide and can be computed by a simple formula. The results generalize those obtained in [5].",

keywords = "Fractional perturbation, Homogeneous difference system, Positive matrix, Stability radius, Strong stability, INFINITE-DIMENSIONAL SPACES, RADII",

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doi = "10.1080/01630561003672620",

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T1 - The robustness of strong stability of positive homogeneous difference systems under parameter perturbations

AU - Bui, The

AU - Son, Nguyen Khoa

PY - 2010

Y1 - 2010

N2 - In this article, we study the robustness of strong stability of the homogeneous difference systems via the concept of strong stability radii: complex, real and positive radii under parameter perturbations. We also show that in the case of positive systems, these radii coincide and can be computed by a simple formula. The results generalize those obtained in [5].

AB - In this article, we study the robustness of strong stability of the homogeneous difference systems via the concept of strong stability radii: complex, real and positive radii under parameter perturbations. We also show that in the case of positive systems, these radii coincide and can be computed by a simple formula. The results generalize those obtained in [5].

KW - Fractional perturbation

KW - Homogeneous difference system

KW - Positive matrix

KW - Stability radius

KW - Strong stability

KW - INFINITE-DIMENSIONAL SPACES

KW - RADII

UR - https://www.scopus.com/pages/publications/77951111318

U2 - 10.1080/01630561003672620

DO - 10.1080/01630561003672620

M3 - Article

SN - 0163-0563

VL - 31

SP - 97

EP - 111

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 2

ER -

The robustness of strong stability of positive homogeneous difference systems under parameter perturbations

Abstract

Keywords

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