LMI tools for eventually periodic systems

Mazen Farhood, Geir E. Dullerud

Research output: Contribution to journalArticlepeer-review


This paper is focused on the concept of an eventually periodic linear discrete-time system. We derive a necessary and sufficient analysis condition for checking open-loop stability and performance of such systems, and use this to derive exact controller synthesis conditions given eventually periodic plants. All the conditions derived are provided in terms of semi-definite programming problems. The motivation for this work is controlling nonlinear systems along prespecified trajectories, notably those which eventually settle down into periodic orbits and those with uncertain initial states.

Original languageEnglish (US)
Pages (from-to)417-432
Number of pages16
JournalSystems and Control Letters
Issue number5
StatePublished - Dec 16 2002


  • LMIs
  • Orbits
  • Time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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