Stability radii of positive linear time-delay systems under fractional perturbations

Authors: Dương Đặng Xuân Thành, Nguyễn Khoa Sơn, Bùi Thế Anh,

https://doi.org/10.1016/j.sysconle.2008.10.003

Publisher, magazine: ,

Publication year: 2009

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Abstract

In this paper we study stability radii of positive linear delay systems under fractional perturbations. It is shown that the three stability radii: complex, real and positive stability radii coincide and can be computed by a simple formula. Finally, a simple example is given to illustrate the obtained results.

Tags: Positive linear delay system, Stability radius, Fractional perturbation, Nonnegative matrix