Stability radii of positive higher order difference system in infinite dimensional spaces

Bui The Anh*, Nguyen Khoa Son

*Corresponding author for this work

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this paper we study stability radii of positive higher order difference system under affine perturbations of the coefficient operators. It is shown that the real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by some examples. The results obtained are extensions of the recent work in [D. Hinrichsen, P.H.A. Ngoc, N.K. Son, Stability radii of positive higher order difference system, Systems Control Lett. 49 (2003) 377-388] to Banach spaces.

Original languageEnglish
Pages (from-to)822-827
Number of pages6
JournalSystems and Control Letters
Volume57
Issue number10
DOIs
Publication statusPublished - Oct 2008
Externally publishedYes

Keywords

  • Affine parameter perturbation
  • Positive difference system
  • Stability radius

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