Stability radii of higher order positive difference systems

Authors: Diederich Hinrichsen, Nguyễn Khoa Sơn, Phạm Hữu Anh Ngọc,

https://doi.org/10.1016/S0167-6911(03)00116-6

Publisher, magazine: ,

Publication year: 2003

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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.

Tags: Positive system; Polynomial matrix; Robust stability; Stability radius