Stability radii of positive higher order difference system in infinite dimensional spaces

Bui The Anh; Nguyen Khoa Son

doi:10.1016/j.sysconle.2008.03.012

Stability radii of positive higher order difference system in infinite dimensional spaces

Bui The Anh^*, Nguyen Khoa Son

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

In this paper we study stability radii of positive higher order difference system under affine perturbations of the coefficient operators. It is shown that the real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by some examples. The results obtained are extensions of the recent work in [D. Hinrichsen, P.H.A. Ngoc, N.K. Son, Stability radii of positive higher order difference system, Systems Control Lett. 49 (2003) 377-388] to Banach spaces.

Original language	English
Pages (from-to)	822-827
Number of pages	6
Journal	Systems and Control Letters
Volume	57
Issue number	10
DOIs	https://doi.org/10.1016/j.sysconle.2008.03.012
Publication status	Published - Oct 2008
Externally published	Yes

Keywords

Affine parameter perturbation
Positive difference system
Stability radius

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10.1016/j.sysconle.2008.03.012

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abstract = "In this paper we study stability radii of positive higher order difference system under affine perturbations of the coefficient operators. It is shown that the real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by some examples. The results obtained are extensions of the recent work in [D. Hinrichsen, P.H.A. Ngoc, N.K. Son, Stability radii of positive higher order difference system, Systems Control Lett. 49 (2003) 377-388] to Banach spaces.",

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AU - Anh, Bui The

AU - Son, Nguyen Khoa

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AB - In this paper we study stability radii of positive higher order difference system under affine perturbations of the coefficient operators. It is shown that the real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by some examples. The results obtained are extensions of the recent work in [D. Hinrichsen, P.H.A. Ngoc, N.K. Son, Stability radii of positive higher order difference system, Systems Control Lett. 49 (2003) 377-388] to Banach spaces.

KW - Affine parameter perturbation

KW - Positive difference system

KW - Stability radius

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DO - 10.1016/j.sysconle.2008.03.012

M3 - Article

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VL - 57

SP - 822

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JO - Systems and Control Letters

JF - Systems and Control Letters

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ER -

Stability radii of positive higher order difference system in infinite dimensional spaces

Abstract

Keywords

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