Tradeoffs in linear time-varying systems: An analogue of Bode's sensitivity integral

Research output: Contribution to journalArticle

Abstract

A new time-domain interpretation of Bode's integral is presented. This allows for a generalization to the class of time-varying systems which possess an exponential dichotomy. It is shown that the sensitivity function is constrained, on average, by the Lyapunov exponents of the open-loop system which take the place of the magnitude of the open-loop poles.

Original languageEnglish (US)
Pages (from-to)1541-1550
Number of pages10
JournalAutomatica
Volume37
Issue number10
DOIs
StatePublished - Oct 1 2001

Keywords

  • Discrete-time systems
  • Entropy
  • Lyapunov exponents
  • Sensitivity
  • Time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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