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Alternative formulae for lower general exponent of discrete linear time-varying systems

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

The Bohl exponents, similarly as Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the Bohl exponents are much less investigated. In this paper we consider the so-called junior lower general exponent of discrete linear time-varying system and present some alternative formulae for it. We also discuss relations between lower Bohl exponents of the perturbed system and junior lower general exponent of the unperturbed system.

Original languageEnglish
Pages (from-to)399-419
Number of pages21
JournalJournal of the Franklin Institute
Volume352
Issue number1
DOIs
Publication statusPublished - 1 Jan 2015

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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