Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces |
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Authors: | Bui The Anh Nguyen Khoa Son |
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Affiliation: | (1) Department of Mathematics, University of Pedagogy, 280 An Duong Vuong Str., HoChiMinh City, Vietnam;(2) Institute of Mathematics, 18 Hoang Quoc Viet Road, 10307 Hanoi, Vietnam |
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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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Keywords: | Positive difference equations affine parameter perturbations stability radius |
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