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On the central exponent of discrete time-varying linear systems

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Abstract

In this paper we introduce concept of central exponent of linear time varying discrete system. It is shown that this exponent describe the possible changes in the greatest Lyapunov exponent under small parametric perturbations. Finally we present a formula for the central exponent in terms of transition matrix of the system.

Original languageEnglish
Title of host publicationProceedings - ICSEng 2011
Subtitle of host publicationInternational Conference on Systems Engineering
Pages22-25
Number of pages4
DOIs
Publication statusPublished - 2011
Event21st International Conference on Systems Engineering, ICSEng 2011 - Las Vegas, NV, United States
Duration: 16 Aug 201118 Aug 2011

Publication series

NameProceedings - ICSEng 2011: International Conference on Systems Engineering

Conference

Conference21st International Conference on Systems Engineering, ICSEng 2011
Country/TerritoryUnited States
CityLas Vegas, NV
Period16/08/1118/08/11

Keywords

  • Lyapunov exponents
  • characteristic exponents
  • perturbation theory
  • time varying discrete linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering

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