LMI tools for eventually periodic systems

Mazen Farhood, Geir E. Dullerud

Research output: Contribution to journalConference articlepeer-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)23-28
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - Jan 1 2002
Event2002 American Control Conference - Anchorage, AK, United States
Duration: May 8 2002May 10 2002

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'LMI tools for eventually periodic systems'. Together they form a unique fingerprint.

Cite this