In this paper, we study the stability radii of positive quasipolynomials associated with linear functional difference equations in infinite-dimensional spaces. It is shown that the positive, real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by a simple example.
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Published in Russian in Matematicheskie Zametki, 2010, Vol. 88, No. 5, pp. 651–661.
The text was submitted by the authors in English.
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Anh, B.T., Son, N.K. Robust stability of a class of positive quasi-polynomials in Banach spaces. Math Notes 88, 626–636 (2010). https://doi.org/10.1134/S0001434610110027