Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces

Bui The Anh; Nguyen Khoa Son

doi:10.1007/s11117-008-2113-2

Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces

Bui The Anh, Nguyen Khoa Son

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

11 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	677-690
Number of pages	14
Journal	Positivity
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s11117-008-2113-2
Publication status	Published - Nov 2008
Externally published	Yes

Keywords

Affine parameter perturbations
Positive difference equations
Stability radius

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10.1007/s11117-008-2113-2

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

keywords = "Affine parameter perturbations, Positive difference equations, Stability radius",

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AU - Son, Nguyen Khoa

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

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KW - Positive difference equations

KW - Stability radius

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DO - 10.1007/s11117-008-2113-2

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Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces

Abstract

Keywords

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