On the induced norms of discrete-time and hybrid time-varying systems

Pablo A. Iglesias, Marc A. Peters

Research output: Contribution to journalArticlepeer-review

Abstract

Characterizations for the induced norms of two types of systems are considered. It is first shown that the induced l2 norm of a discrete-time linear time-varying system may be characterized by the existence requirement on solutions to operator algebraic Riccati equations. A similar result is derived for systems that arise in sampled-data systems involving a mixture of continuous and discrete-time signals.

Original languageEnglish (US)
Pages (from-to)811-833
Number of pages23
JournalInternational Journal of Robust and Nonlinear Control
Volume7
Issue number9
DOIs
StatePublished - Sep 1997

Keywords

  • Discrete-time
  • Operator norms
  • Sampled-data systems
  • Spectral factorizations
  • Time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

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