Robust stability of positive linear systems under fractional perturbations in infinite dimensional spaces

Bui The Anh; Nguyen Khoa Son; Bui The Quan

Robust stability of positive linear systems under fractional perturbations in infinite dimensional spaces

Bui The Anh, Nguyen Khoa Son, Bui The Quan^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper we study the stability radii of positive linear discrete system under fractional perturbations in infinite dimensional spaces. It is shown that complex, real, and positive stability radii of positive systems coincide. More importantly, computable formulas of these stability radii are also derived. The results are then illustrated by a simple example. The results obtained in our paper are extensions of the recent works in [3, 8].

Original language	English
Pages (from-to)	429-441
Number of pages	13
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	18
Issue number	4
Publication status	Published - 2011
Externally published	Yes

Keywords

positive difference equations
fractional perturbations
stability radius

Cite this

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title = "Robust stability of positive linear systems under fractional perturbations in infinite dimensional spaces",

abstract = "In this paper we study the stability radii of positive linear discrete system under fractional perturbations in infinite dimensional spaces. It is shown that complex, real, and positive stability radii of positive systems coincide. More importantly, computable formulas of these stability radii are also derived. The results are then illustrated by a simple example. The results obtained in our paper are extensions of the recent works in [3, 8].",

keywords = "positive difference equations, fractional perturbations, stability radius",

author = "Anh, {Bui The} and Son, {Nguyen Khoa} and Quan, {Bui The}",

year = "2011",

language = "English",

volume = "18",

pages = "429--441",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

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T1 - Robust stability of positive linear systems under fractional perturbations in infinite dimensional spaces

AU - Anh, Bui The

AU - Son, Nguyen Khoa

AU - Quan, Bui The

PY - 2011

Y1 - 2011

N2 - In this paper we study the stability radii of positive linear discrete system under fractional perturbations in infinite dimensional spaces. It is shown that complex, real, and positive stability radii of positive systems coincide. More importantly, computable formulas of these stability radii are also derived. The results are then illustrated by a simple example. The results obtained in our paper are extensions of the recent works in [3, 8].

AB - In this paper we study the stability radii of positive linear discrete system under fractional perturbations in infinite dimensional spaces. It is shown that complex, real, and positive stability radii of positive systems coincide. More importantly, computable formulas of these stability radii are also derived. The results are then illustrated by a simple example. The results obtained in our paper are extensions of the recent works in [3, 8].

KW - positive difference equations

KW - fractional perturbations

KW - stability radius

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M3 - Article

AN - SCOPUS:79961093777

SN - 1201-3390

VL - 18

SP - 429

EP - 441

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 4

ER -

Robust stability of positive linear systems under fractional perturbations in infinite dimensional spaces

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Keywords

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