Robust stability of a class of positive quasi-polynomials in Banach spaces

Bui The Anh; Nguyen Khoa Son

doi:10.1134/S0001434610110027

Robust stability of a class of positive quasi-polynomials in Banach spaces

Bui The Anh, Nguyen Khoa Son

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	626-636
Number of pages	11
Journal	Mathematical Notes
Volume	88
Issue number	5-6
DOIs	https://doi.org/10.1134/S0001434610110027
Publication status	Published - 2010
Externally published	Yes

Keywords

Banach lattice
parameter perturbation
Perron-Frobenius theorem
positive quasipolynomial
stability radius

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10.1134/S0001434610110027

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title = "Robust stability of a class of positive quasi-polynomials in Banach spaces",

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.",

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KW - Banach lattice

KW - parameter perturbation

KW - Perron-Frobenius theorem

KW - positive quasipolynomial

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JO - Mathematical Notes

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Robust stability of a class of positive quasi-polynomials in Banach spaces

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Keywords

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