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Stability radii of higher order positive difference systems
Authors:D. Hinrichsen   Nguyen Khoa Son  Pham Huu Anh Ngoc  
Affiliation:

a Institut für Dynamische Systeme, Universität Bremen, Postfach 330 440, 28334, Bremen, Germany

b Institute of Mathematics, P.O. Box 631, Bo Ho, 10000, Hanoi, Viet Nam

c Department of Mathematics, University of Hue, 32 Le Loi Str., Hue City, Viet Nam

Abstract:In this paper we study stability radii of positive polynomial matrices under affine perturbations of the coefficient matrices. 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.
Keywords:Positive system   Polynomial matrix   Robust stability   Stability radius
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