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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm5245https://doi.org/10.4213/mzm5245 https://www.mathnet.ru/eng/mzm/v88/i5/p651
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Abstract page: | 523 | Full-text PDF : | 155 | References: | 41 | First page: | 10 |
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