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Matematicheskie Zametki, 2010, Volume 88, Issue 5, Pages 651–661
DOI: https://doi.org/10.4213/mzm5245 (Mi mzm5245) 		 
Robust Stability of a Class of Positive Quasi-Polynomials in Banach Spaces

Bui The Anha, Nguyen Khoa Sonb

a Pedagogical University, Ho Chi Minh City, Vietnam
b Hanoi Institute of Mathematics, Vietnam
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DOI: https://doi.org/10.4213/mzm5245
Abstract: 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, positive quasipolynomial, Banach lattice, Perron–Frobenius theorem.
Received: 28.06.2008
Revised: 11.11.2008
English version:
Mathematical Notes, 2010, Volume 88, Issue 5, Pages 626–636
DOI: https://doi.org/10.1134/S0001434610110027
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: Bui The Anh, Nguyen Khoa Son, “Robust Stability of a Class of Positive Quasi-Polynomials in Banach Spaces”, Mat. Zametki, 88:5 (2010), 651–661; Math. Notes, 88:5 (2010), 626–636
Citation in format AMSBIB
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