Duality and eventually periodic systems

M. Farhood, G. E. Dullerud

Research output: Contribution to journalArticlepeer-review


This paper employs semidefinite programming duality theory to develop new alternative linear matrix inequality (LMI) tools for eventually periodic systems. These tools are then utilized to rederive an important version of the Kalman-Yakubovich-Popov (KYP) Lemma for such systems, and further give new synthesis results.

Original languageEnglish (US)
Pages (from-to)575-599
Number of pages25
JournalInternational Journal of Robust and Nonlinear Control
Issue number13
StatePublished - Sep 10 2005


  • Duality
  • Eventually periodic systems
  • LMIs
  • Orbits
  • Time-varying systems
  • ℓ-induced control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Chemical Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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