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

Authors: Anh, Bui¹; Son, Nguyen²

Source: Mathematical Notes, Volume 88, Numbers 5-6, December 2010 , pp. 626-636(11)

Publisher: Springer

Buy & download fulltext article:

Price: $47.00 plus tax (Refund Policy)

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

Document Type: Research article

DOI: http://dx.doi.org/10.1134/S0001434610110027

Affiliations: 1: Pedagogical University, Ho Chi Minh City, Vietnam, Email: bt_anh80@yahoo.com 2: Hanoi Institute of Mathematics, Hanoi, Vietnam

Publication date: 2010-12-01