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On the Bohl and general exponents of the discrete time-varying linear system

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

9 Citations (Scopus)

Abstract

Many properties of dynamical systems may be characterized by certain numbers called characteristic exponents. The most important are: Lyapunov, Bohl and general exponents. In this paper we investigate relations between certain subtypes of the general exponents of discrete time-varying linear systems, namely the senior lower and the junior upper once. The main contribution of the paper is to construct an example of a system with the senior lower exponent strictly smaller than the junior upper general exponents.

Original languageEnglish
Title of host publication10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
EditorsSeenith Sivasundaram
PublisherAmerican Institute of Physics Inc.
Pages744-749
Number of pages6
ISBN (Electronic)9780735412767
DOIs
Publication statusPublished - 10 Dec 2014
Event10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 - Narvik, Norway
Duration: 15 Jul 201418 Jul 2014

Publication series

NameAIP Conference Proceedings
Volume1637
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
Country/TerritoryNorway
CityNarvik
Period15/07/1418/07/14

Keywords

  • Bohl exponents
  • Lyapunov exponent
  • general exponents
  • perturbed system
  • stability of linear systems
  • time-varying systems

ASJC Scopus subject areas

  • General Physics and Astronomy

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