The Robustness of Strong Stability of Positive Homogeneous Difference Systems Under Parameter Perturbations

Authors: Nguyễn Khoa Sơn, Bùi Thế Anh,

https://doi.org/10.1080/01630561003672620

Publisher, magazine: ,

Publication year: 2010

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Abstract

In this article, we study the robustness of strong stability of the homogeneous difference systems via the concept of strong stability radii: complex, real and positive radii under parameter perturbations. We also show that in the case of positive systems, these radii coincide and can be computed by a simple formula. The results generalize those obtained in [5].

Tags: Fractional perturbation, Homogeneous difference system, Positive matrix, Stability radius, Strong stability