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

Mathematical Notes volume 88, pages 626–636 (2010)Cite this article

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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Authors and Affiliations

  1. Pedagogical University, Ho Chi Minh City, Vietnam

    Bui The Anh

  2. Hanoi Institute of Mathematics, Hanoi, Vietnam

    Nguyen Khoa Son

Authors
  1. Bui The Anh
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  2. Nguyen Khoa Son
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Corresponding author

Correspondence to Bui The Anh.

Additional information

Published in Russian in Matematicheskie Zametki, 2010, Vol. 88, No. 5, pp. 651–661.

The text was submitted by the authors in English.

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Anh, B.T., Son, N.K. Robust stability of a class of positive quasi-polynomials in Banach spaces. Math Notes 88, 626–636 (2010). https://doi.org/10.1134/S0001434610110027

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  • DOI: https://doi.org/10.1134/S0001434610110027

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