Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces

Bui The Anh; Nguyen Khoa Son; Duong Dang Xuan Thanh

doi:10.1016/j.amc.2008.02.041

Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces

Bui The Anh^*, Nguyen Khoa Son, Duong Dang Xuan Thanh

^*Corresponding author for this work

Research output: Contribution to journal › Article

9 Citations (Scopus)

Abstract

In this paper, we study the stability radii of positive difference systems with delays under arbitrary affine parameter perturbations in infinite dimensional spaces. The obtained results are extensions of the recent results in [P.H.A. Ngoc, N.K. Son, Stability radii of positive linear difference equations under affine parameter perturbation, Appl. Math. Comput. 134 (2003) 577-594; A. Fischer, Stability radii of infinite-dimensional positive systems, Math. Control Signals Syst. 10 (1997) 223-236].

Original language	English
Pages (from-to)	562-570
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	202
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.02.041
Publication status	Published - 15 Aug 2008
Externally published	Yes

Keywords

Affine parameter perturbation
Positive difference system
Stability radius

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10.1016/j.amc.2008.02.041

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title = "Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces",

abstract = "In this paper, we study the stability radii of positive difference systems with delays under arbitrary affine parameter perturbations in infinite dimensional spaces. The obtained results are extensions of the recent results in [P.H.A. Ngoc, N.K. Son, Stability radii of positive linear difference equations under affine parameter perturbation, Appl. Math. Comput. 134 (2003) 577-594; A. Fischer, Stability radii of infinite-dimensional positive systems, Math. Control Signals Syst. 10 (1997) 223-236].",

keywords = "Affine parameter perturbation, Positive difference system, Stability radius",

author = "Anh, {Bui The} and Son, {Nguyen Khoa} and Thanh, {Duong Dang Xuan}",

year = "2008",

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T1 - Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces

AU - Anh, Bui The

AU - Son, Nguyen Khoa

AU - Thanh, Duong Dang Xuan

PY - 2008/8/15

Y1 - 2008/8/15

N2 - In this paper, we study the stability radii of positive difference systems with delays under arbitrary affine parameter perturbations in infinite dimensional spaces. The obtained results are extensions of the recent results in [P.H.A. Ngoc, N.K. Son, Stability radii of positive linear difference equations under affine parameter perturbation, Appl. Math. Comput. 134 (2003) 577-594; A. Fischer, Stability radii of infinite-dimensional positive systems, Math. Control Signals Syst. 10 (1997) 223-236].

AB - In this paper, we study the stability radii of positive difference systems with delays under arbitrary affine parameter perturbations in infinite dimensional spaces. The obtained results are extensions of the recent results in [P.H.A. Ngoc, N.K. Son, Stability radii of positive linear difference equations under affine parameter perturbation, Appl. Math. Comput. 134 (2003) 577-594; A. Fischer, Stability radii of infinite-dimensional positive systems, Math. Control Signals Syst. 10 (1997) 223-236].

KW - Affine parameter perturbation

KW - Positive difference system

KW - Stability radius

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U2 - 10.1016/j.amc.2008.02.041

DO - 10.1016/j.amc.2008.02.041

M3 - Article

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SP - 562

EP - 570

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

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