Geodesic
Robust Stability of a Class of Positive Quasi-Polynomials in Banach Spaces
Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 651-661

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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.
Keywords: stability radius, parameter perturbation, Banach lattice, Perron–Frobenius theorem.
Mots-clés : positive quasipolynomial 
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     author = {Bui The Anh and Nguyen Khoa Son},
     title = {Robust {Stability} of a {Class} of {Positive} {Quasi-Polynomials} in {Banach} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a1/}
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Bui The Anh; Nguyen Khoa Son. Robust Stability of a Class of Positive Quasi-Polynomials in Banach Spaces. Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 651-661. http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a1/