On the l2-induced control for eventually periodic systems

Mazen Farhood, Geir E Dullerud

Research output: Contribution to journalConference articlepeer-review


This paper is focused on the l2-induced control of eventually periodic linear discrete-time systems. We prove for such systems that a synthesis exists if and only if an eventually periodic synthesis exists. We also consider specific cases, where we show that the synthesis if existent can always be chosen to be of the same eventually periodic class as the plant. 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)2021-2026
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - Nov 29 2004
EventProceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States
Duration: Jun 30 2004Jul 2 2004

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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