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On the set of Perron exponents of discrete linear systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

22 Citations (Scopus)

Abstract

The Lyapunov, Bohl and Perron exponents belong to the most important numerical characteristics of dynamical systems used in control theory Properties of the first two characteristics are well described in the literature. Properties of the Perron exponents are much less investigated. In this paper we show an example of two-dimensional discrete-time linear system with bounded coefficients for which the set of Perron exponents constitutes an interval.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsEdward Boje, Xiaohua Xia
PublisherIFAC Secretariat
Pages11740-11742
Number of pages3
ISBN (Electronic)9783902823625
DOIs
Publication statusPublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume19
ISSN (Print)1474-6670

Conference

Conference19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Country/TerritorySouth Africa
CityCape Town
Period24/08/1429/08/14

Keywords

  • Cantor-type set
  • Perron exponent
  • Stability time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering

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