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.",

keywords = "Banach lattice, parameter perturbation, Perron-Frobenius theorem, positive quasipolynomial, stability radius",

author = "Anh, \{Bui The\} and Son, \{Nguyen Khoa\}",

year = "2010",

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AU - Anh, Bui The

AU - Son, Nguyen Khoa

PY - 2010

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AB - 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.

KW - Banach lattice

KW - parameter perturbation

KW - Perron-Frobenius theorem

KW - positive quasipolynomial

KW - stability radius

UR - https://www.scopus.com/pages/publications/78651258445

U2 - 10.1134/S0001434610110027

DO - 10.1134/S0001434610110027

M3 - Article

AN - SCOPUS:78651258445

SN - 0001-4346

VL - 88

SP - 626

EP - 636

JO - Mathematical Notes

JF - Mathematical Notes

IS - 5-6

ER -

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

Abstract

Keywords

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