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

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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].

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Authors and Affiliations

  1. Department of Mathematics, University of Pedagogy, 280 An Duong Vuong Str., HoChiMinh City, Vietnam

    Bui The Anh

  2. Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307, Hanoi, Vietnam

    Nguyen Khoa Son

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  1. Bui The Anh
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  2. Nguyen Khoa Son
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Correspondence to Bui The Anh.

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Anh, B.T., Son, N.K. Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces. Positivity 12, 677–690 (2008). https://doi.org/10.1007/s11117-008-2113-2

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  • DOI: https://doi.org/10.1007/s11117-008-2113-2

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